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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The impact of AI integration on the formation of students' critical thinking in the modern educational process</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nataliia Dziubanovska</string-name>
          <email>n.dziubanovska@wunu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vadym Maslii</string-name>
          <email>v.maslii@wunu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>West Ukrainian National University</institution>
          ,
          <addr-line>11 Lvivska Str., Ternopil, 46009</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <fpage>9</fpage>
      <lpage>19</lpage>
      <abstract>
        <p>This article examines the implications of using Artificial Intelligence (AI) technologies to develop students' critical thinking skills in the educational process. The paper considers both the positive aspects of using AI - such as opportunities for personalised learning, efective information analysis and stimulation of creative thinking - and the potential risks associated with over-reliance on technology and a reduced ability to independently and critically interpret data. The study's methodology uses a survey with Likert scale questions, the analysis of descriptive statistical indicators and the classification of students using the Support Vector Machine (SVM) method. Using permutation importance analysis, the study identified which aspects of AI use had the greatest impact on developing critical thinking. The results showed the high efectiveness of the SVM model in classifying students. Also, they revealed that ethical issues - especially those related to data confidentiality and verification of information reliability - are key factors in forming critical thinking. The data obtained indicate the need to develop adaptive educational strategies that consider modern technological trends and promote the development of a high level of analytical and critical skills in students.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;artificial intelligence</kwd>
        <kwd>critical thinking</kwd>
        <kwd>education</kwd>
        <kwd>SVM</kwd>
        <kwd>permutation meaning</kwd>
        <kwd>data analysis</kwd>
        <kwd>ethical aspects</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In the 21st century, artificial intelligence (AI) technologies have gained incredible popularity and
have become an integral part of many fields, including education. Its application is changing how
students and teachers interact and bringing about significant adjustments to educational processes
and practices. In particular, thanks to AI’s ability to analyse large data sets, generate new content and
predict outcomes, it has considerable potential to transform education – a transformation that requires
rethinking the roles of teachers, students and the educational process itself. Generative AI technologies,
in particular tools such as ChatGPT, Gemini and others, enrich the learning process by providing
personalised support to students, assisting with information retrieval, fact checking and problem
solving. However, alongside these positive opportunities, AI in education presents new challenges,
particularly in developing students’ critical thinking skills. How can we balance the automation of
learning and the ability of students to analyse and critically interpret information independently?</p>
      <p>
        According to the UNESCO report “Recommendation on the Ethics of Artificial Intelligence” (2021) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
the implementation of AI in the educational process should be accompanied by the development
of ethical standards that ensure accountability for both students and educators in the use of these
technologies, as well as helping to cultivate the ability to critically evaluate the information they receive
through these tools – which, if used properly, can become a powerful tool for developing cognitive
strategies.
      </p>
      <p>
        Recent research highlights that the use of AI can positively impact students’ development of critical
thinking skills, particularly in the context of fact-checking, data analysis and complex problem solving.
However, as noted by UNESCO in its “Competency Framework for Students” (2024) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], achieving
these goals requires that learners not only acquire knowledge about how to use AI, but also have
the opportunity to develop skills in critically evaluating and analysing the information generated by
these tools [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. AI can foster critical thinking by enabling students to quickly obtain necessary
information, verify its accuracy, and evaluate diferent perspectives. At the same time, reliance on
technology can reduce interest in thinking independently and interpreting information. According
to the World Economic Forum’s “Future of Jobs Report 2025” [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], technologies – particularly AI –
are becoming key to developing the skills needed for future work, such as analytical thinking and
technological literacy [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>These technologies can also pose risks if students do not learn to efectively verify and analyse the
information they receive, thereby reducing their level of critical evaluation.</p>
      <p>
        Despite the significant potential of AI, only a few countries – such as Estonia, Korea, China, the
United Kingdom, Canada and Australia – have national policies and frameworks for training educators
to use AI in the educational process. These countries are actively integrating technology into their
education systems, while also providing professional development for teachers to efectively use AI to
foster the development of critical thinking skills in students [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        In addition, new technologies are attracting investment in the education sector, and forecasts for the
global market are very optimistic: the global market for AI in education is expected to grow by 36%
per year until 2030 [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. As noted in research by Wang et al. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], the field of education is particularly
well suited for AI technologies because the learning process – including knowledge acquisition and
teaching – is a cognitively demanding scientific activity, and AI programs designed for problem solving
and understanding based on algorithms and knowledge bases can efectively support and enhance both
educators’ and learners’ abilities in teaching and learning. However, in addition to the many benefits,
AI poses several challenges for educational institutions, particularly concerning ethics, privacy and
ensuring the development of critical thinking skills in students.
      </p>
      <p>Our research aims to investigate the impact of the use of AI technologies on the development of
critical thinking in students during the learning process. Specifically, we are investigating how various
factors – such as the frequency of AI use, attitudes towards fact-checking, and students’ emotional state
– influence their ability to interpret educational material critically. The results of this study will help
determine whether integrating AI into the educational process promotes the development of critical
thinking skills in students or creates the risk of technology dependency, thereby reducing their ability
to analyse and evaluate information independently.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review</title>
      <p>In the current era of digitalisation of education, AI technologies are gaining significant importance
in shaping innovative approaches to learning. From the emergence of the first experimental models
to the implementation of modern generative systems, AI is continuously expanding its capabilities,
contributing to enhancing the educational process and raising challenges related to ensuring the ethics
and autonomy of students’ thinking. Much attention has been paid to scientific research to analyse the
impact of AI integration on the development of critical thinking, which is one of the key indicators of
educational quality. The present literature review aims to systematise modern approaches to the use
of AI in education, identify both the positive and negative consequences of this process, and outline
possible directions for further research in developing students’ cognitive skills.</p>
      <p>
        Artificial intelligence emerged in the mid-twentieth century and, as noted by Perrotta and Selwyn
[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], its tools are actively used in education for the study of diferent subjects (including languages and
STEM) and to support teaching activities in interactions with students, assessments, etc. A bibliometric
analysis presented by Wang et al. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] shows a growing interest in AI in education since 2017, explained
both by the expansion of technological capabilities [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and by the massive shift to online learning during
the COVID-19 pandemic [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>
        In parallel with conceptual studies, applied algorithmic approaches are actively being developed to
improve the eficiency of educational resources. For instance, in a study [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] conducted within the
methodological framework of design science, the support vector machine (SVM) algorithm was applied
to optimise the classification of online educational materials. The research aimed to overcome the limited
accuracy of traditional classification methods to provide students with more convenient and precise
access to learning resources. The proposed SVM-based classifier was compared with neural networks
and deep learning methods: the results showed an increase in precision by 3.26% and in recall by 2.01%
compared to traditional approaches, as well as a better performance balance according to the F-measure.
This demonstrates that the application of SVM has practical value in online education, particularly for
tasks related to searching and organising large volumes of resources. Similarly, research in Educational
Data Mining (EDM) highlights the potential of SVM for predictive analytics in higher education [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
With the rapid expansion of educational institutions and the resulting accumulation of unstructured
data, there is a growing need for efective tools to transform raw data into meaningful insights. One
study applied an SVM-based classification approach to student placement data, successfully predicting
placement outcomes and showing that such methods can improve institutional decision-making. Beyond
supporting more efective student placement strategies, SVM was shown to enhance the competitive
advantage of educational institutions by enabling more informed planning and resource allocation. As
a supervised learning technique, SVM thus represents a robust and eficient tool for pattern recognition
and predictive modelling within the educational domain. These contributions illustrate that beyond
its theoretical appeal, SVM provides a strong methodological foundation for addressing classification
and prediction tasks in education. This underlines its relevance as a machine learning technique and a
practical means of improving educational quality and institutional efectiveness.
      </p>
      <p>
        Regarding ethical considerations in the application of AI in education, Williamson [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] notes that in
the initial stages of implementation, developers focused primarily on technological and pedagogical
aspects – namely, on creating the system and evaluating its efectiveness in an educational context.
The researcher also emphasises that modern ethical issues are becoming more pronounced due to the
growing integration of technologies at all levels of education, the increased collection of data in the
learning environment, and the active use of digital platforms to analyse and commercialise information
about user behaviour. Similar observations are supported by studies by Akgün and Greenhow [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ],
Boulay [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] and Glover [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. In particular, Boulay [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] points out the risk that the use of ChatGPT may
lead to information being obtained that does not meet objective standards, and that educators may
make decisions about student support based solely on analytical data.
      </p>
      <p>
        Lim et al. [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] define the role of generative AI as a transformative resource for the future of education,
while Yatigammana and Sampath [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] found in their systematic review that about half of the studies
confirm the positive impact of generative AI on the development of students’ critical thinking.
      </p>
      <p>
        However, some studies warn of a potential threat to critical thinking associated with excessive reliance
on GenAI tools. For example, Bhosale [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] emphasises that excessive use of such technologies can
negatively afect researchers’ ability to conduct independent analysis. Benard [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] notes that despite the
increasing integration of GenAI into productivity-enhancing tools, these tools may limit users’ ability
to reflect on their own research. Over time, excessive reliance may lead to declining creativity and
analytical skills. Research by Farrokhnia et al. [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] showed that although the use of GenAI by students
facilitates faster decision-making, it simultaneously reduces their motivation to conduct independent
research and form their own conclusions. In addition, the ease with which teachers can generate
lesson plans and assessments can potentially afect their mastery of the subject matter, afecting
highlevel cognitive skills – particularly the ability to think critically and analytically. Szmyd and Mitera
[
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] found that although students find AI-based tools useful for developing information analysis and
argumentation skills, many express concern that over-reliance on these technologies could weaken
their ability to think independently and make well-considered decisions. According to their conclusions,
students value the opportunity to critically assess their own beliefs, while recognising that while AI
can support this process, it cannot completely replace traditional teaching methods, which are key to
developing autonomous thinking.
      </p>
      <p>
        Research by Thiga [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] has shown that the use of GenAI has a dual nature: on the one hand, it can
stimulate the development of critical thinking through systematic analysis of the results of the use of
these tools; on the other hand, it poses a danger, as the data obtained are often inaccurate, biased and
prone to hallucinations, thus complicating the process of making informed decisions.
      </p>
      <p>Given the multiple impacts of AI technologies on the educational process and the development of
critical thinking, there is a need for further research to elucidate these relationships better and to
develop efective strategies for integrating AI into education to support the development of students’
analytical and critical skills.</p>
      <p>While prior research has demonstrated the utility of SVM for improving the classification of
educational resources and predicting student placements, little attention has been paid to using SVM to model
students’ critical thinking directly. Our research addresses this gap by applying SVM to survey data on
students’ interaction with AI, thereby bridging the methodological advances of machine learning with
the theoretical challenge of assessing cognitive and ethical skills.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology</title>
      <p>
        The research methodology aims to analyse the impact of AI technologies on the development of students’
critical thinking in the learning process. To this end, a survey was conducted among students of the
faculties of “Economics and Management” and “Finance and Accounting”. The choice of humanities
faculties is justified by the hypothesis that students of technical faculties have a higher level of critical
thinking due to the greater number of mathematical disciplines in their curricula [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ], [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ], [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. The
study, therefore, focuses on determining how the use of AI afects the development of critical thinking,
specifically in humanities students.
      </p>
      <p>In addition to general information about age, gender and frequency of AI use during learning, the
data collection survey included 15 questions covering diferent aspects of AI use in the learning process
and reflecting students’ attitudes towards critical thinking. For example, the question on the importance
of privacy (‘Rate how important privacy is to you when using AI’) allows an assessment of how much
students value ethical aspects when working with GenAI. Another question (‘How confident do you
consider yourself to be as an AI tool user?’) measures the students’ level of confidence in using AI tools,
while the question on the frequency of verifying information from additional sources (‘How often do
you verify information provided by AI from other sources?’) and statements indicating a tendency to
seek alternative explanations allow for an assessment of their ability to conduct in-depth analysis and
critically evaluate the information received. The survey also includes items designed to determine the
impact of AI on students’ emotional state when solving academic tasks, which helps to reveal how
these technologies afect their levels of stress and self-esteem.</p>
      <p>All questions were rated using a Likert scale from 1 to 5, where 1 means ‘strongly disagree’ / ‘don’t
feel’, and 5 means ‘strongly agree’ / ‘strongly feel’. This approach allowed the collection of quantitative
data reflecting the intensity of certain aspects of interaction with AI and the level of critical thinking.</p>
      <p>The results obtained were used as input features for building a model to classify students based on
their level of critical thinking using the Support Vector Machine (SVM) method. The method’s main
idea is to find a hyperplane that maximises the distance between the closest points of diferent classes,
called support vectors. SVM can be used for both linear and non-linear classification by using diferent
kernel functions. In this study, the RBF (Radial Basis Function) kernel was used for classification, which
allows the model to work with non-linearly separable data. The RBF kernel transforms the data into a
higher-dimensional space where it becomes linearly separable, allowing the model to determine the
boundaries between classes in complex cases accurately. Model parameters such as C = 10 and gamma =
0.01 were chosen to optimise the balance between maximising the margin and minimising errors on the
training data. Using this kernel helped to achieve high accuracy in classifying students into groups with
and without critical thinking, indicating the model’s efectiveness for this task. The model was trained
on 80% of the data and its performance was evaluated on the remaining 20% by calculating accuracy,
precision, recall and F1 score metrics, and by analysing the confusion matrix and the classification
report.</p>
      <p>Feature importance was assessed using the permutation method, which can be used to determine which
survey questions have the most significant impact on classification results. Permutation importance is
a technique for assessing feature importance in machine learning models that measures the change in
model accuracy after randomly shufling the values of a given feature.</p>
      <p>Thus, the methods applied allowed for a comprehensive assessment of various aspects of AI application
in the learning process, and the built SVM model provided an efective classification of students based on
their level of critical thinking. This contributes to a deeper understanding of the relationships between
technological innovations and cognitive skills, which is important for further improving educational
practices. Our design operationalises critical thinking through ethically and cognitively anchored items
(verification, contradiction analysis, privacy salience, afect), enabling a direct, model-based assessment
rather than proxy outcomes (e.g., grades or placements).</p>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>The results of the study showed that most students use AI for learning, but the frequency of use varies:
some use it regularly, others only occasionally (figure 1). The most common answer was ‘several times
a week’, chosen by 117 respondents. This suggests that a significant proportion of respondents actively
use AI tools in the learning process. Only 2 students stated that they never use AI in the learning
process.</p>
      <p>Students generally demonstrate a high level of critical thinking by reviewing information from other
sources, indicating their ability to analyse the data provided by AI (table 1).</p>
      <p>The study results indicate that students generally tend to think critically, especially when they need
to verify or analyse the information provided by AI. For example, most respondents indicated that they
try to find confirmation of the information they receive from other sources, which is reflected by a
mean of 3.25 and a standard deviation of 1.05. This indicates moderate variability in responses. Students
also actively analyse information when it contradicts their knowledge (mean 3.66, standard deviation
1.09), indicating their ability to evaluate data from diferent perspectives thoroughly.</p>
      <p>Furthermore, the majority try to find alternative explanations even when the initial one seems
logical (mean 3.5, standard deviation 0.99), which underlines their cognitive flexibility. Respondents
also expressed doubts about the accuracy of the information provided by AI, often seeking additional
arguments to confirm or refute the given data (mean 3.66, standard deviation 1.03).</p>
      <p>Regarding ethical issues, discussions- especially about data privacy- encourage students to reconsider
their views (mean 3.18, standard deviation 1.14). In addition, most tend to analyse alternatives before
using AI-provided answers in their work (mean 3.35, standard deviation 1.09).</p>
      <p>Many respondents agreed that AI helps to find solutions quickly, although this sometimes reduces
the need for independent thinking (mean 3.58, standard deviation 1.14). The use of AI also positively
impacts students’ ability to check facts and seek alternative viewpoints (mean 3.44, standard deviation
1.03).</p>
      <p>However, students experience some dificulty following AI ‘hallucinations’ (mean 2.82, standard
deviation 1.08), suggesting additional training in this area. The assessment of the impact of AI on
students’ emotional state showed a mean of 3.25 and a standard deviation of 1.12, suggesting that
they generally experience some impact on their stress levels and self-esteem as they solve tasks in the
learning process.</p>
      <p>Overall, the study suggests that students tend to analyse and evaluate the information provided by AI
critically. However, certain aspects, such as tracking AI errors, require further development of their
skills.</p>
      <p>After analysing the responses, the next step is to divide the students into two groups: those with
more developed critical thinking (class 1) and those with less developed critical thinking (class 0).
For this purpose, the Support Vector Machine (SVM) method was used, which efectively partitions
the respondents based on their responses to the survey. The input data for building the model are
the students’ answers to questions that assess diferent aspects of critical thinking, such as checking
information, analysing conflicting data, searching for alternative explanations, and considering the
ethical aspects of AI use. Students who demonstrate a high level of information verification and
analysis, who can question the data received, seek alternatives and consider ethical implications, are
assigned to the critical thinking group. The support vector machine method uses these characteristics
as features for classification. After training, each student is classified based on their responses, allowing
an automatic determination of whether they have developed critical thinking. The model is evaluated
using classification accuracy, which helps to understand how efectively it classifies students into the
appropriate categories. This approach provides an objective assessment of students’ level of critical
thinking, which is important for further research into the impact of the use of AI on the development
of these skills in the learning process.</p>
      <p>The study’s results demonstrate the model’s high efectiveness in classifying students according to
their level of critical thinking, with an accuracy of 92.9%. This means the model correctly classified 93%
of the students, indicating its high reliability (table 2).</p>
      <p>According to the classification report, the model achieved a precision of 86% and an excellent recall
of 100% for students assigned to class 0, which means that all students in this class were correctly
identified. However, for students with a high level of critical thinking (referred to as class 1), the model
has a precision of 100%, although the recall for this class is slightly lower (87%), meaning that there is a
small percentage of errors in identifying students in this group.</p>
      <p>The F1 score for both classes (0.93) indicates that the model achieves a harmonious balance between
precision and recall for both categories. The results show that the model performs uniformly across the
two classes, providing a balanced classification not prone to excessive preference for one class over the
other.</p>
      <p>Notably, the macro and weighted averages (macro avg and weighted avg) show almost identical
values for precision, recall and F1 score (0.93), indicating that the classification is consistent and the
model does not show a significant bias towards any class.</p>
      <p>Thus, these results demonstrate the high eficiency and accuracy of the model in classifying students
according to their level of critical thinking (figure 2), particularly in the context of the impact of AI use
on the learning process.</p>
      <p>By analysing the importance of the features using the permutation method, we were able to determine
which responses had the greatest impact on the classification results (figure 3).</p>
      <p>The feature with the highest importance is Q1 ‘Rate how important data privacy is to you when
using AI’ (0.037952), which indicates the importance of ethical aspects in using AI for assessing critical
thinking. Other significant features include Q12 ‘Using AI positively afects my ability to check facts
and seek alternative viewpoints’ (0.034337) and Q5 ‘When information I receive contradicts my prior
knowledge, I tend to analyse it thoroughly from diferent perspectives’ (0.033133). These factors suggest
that students who actively check information and pay attention to ethical considerations tend to have a
higher level of critical thinking.</p>
      <p>At the same time, the question with the lowest importance indicator – Q3 (‘How often do you check
information provided by AI from other sources (e.g. textbooks, websites, etc. for confirmation)?’), which
refers to the frequency of checking information from other sources, suggests that not all aspects of AI
use have the same impact on the development of critical thinking. The diferences in scores allow us to
conclude that some regions of interaction with AI, such as the emphasis on privacy and the thorough
analysis of conflicting information, are more critical to developing students’ critical thinking.</p>
      <p>Thus, the study confirms that the impact of AI technologies on critical thinking is not homogeneous,
but depends on the specific aspects of AI use and how students perceive them. These results can serve
as a basis for further refining educational strategies aimed at developing analytical and critical skills by
integrating modern technologies into the learning process.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The study results show that students are primarily inclined to critically analyse the information provided
by AI, indicating the presence of well-developed critical thinking skills. Using the SVM model allowed
efective classification of respondents according to their level of critical thinking, ensuring high accuracy
and balanced classification. This confirms the reliability of the data obtained and its potential for further
application. These results confirm that the ability to verify information, analyse conflicting data, seek
alternative explanations and consider ethical aspects are important indicators of critical thinking that
can positively influence the quality of the learning process.</p>
      <p>Furthermore, the analysis of the importance of the features indicates that ethical issues – especially
those related to data confidentiality – and the ability to verify the reliability of information play a key
role in determining students’ level of critical thinking. This opens up new opportunities for developing
targeted educational programmes to foster these skills, considering modern technological innovations.</p>
      <p>It is also worth noting that the high level of classification accuracy allows this approach to be used
as a diagnostic tool for monitoring and evaluating the development of critical thinking in educational
institutions. The data obtained can serve as a basis for further research aimed at improving methods
of integrating AI into the learning process, as well as for developing interventions that will help to
improve the level of critical thinking among students.</p>
      <p>However, as with any study, the results obtained have certain limitations, particularly those related
to the sample size and the specifics of the survey. Therefore, future work should extend the sample
and consider additional parameters that influence the development of critical thinking. In this way,
applying the SVM model not only allows an objective assessment of the level of critical thinking
but also stimulates the development of more efective educational strategies that incorporate modern
technological trends and contribute to improving the quality of the educational process in higher
education institutions.</p>
    </sec>
    <sec id="sec-6">
      <title>Author contributions</title>
      <p>Conceptualization, Nataliia Dziubanovska; methodology, Nataliia Dziubanovska; software, Nataliia
Dziubanovska; validation, Nataliia Dziubanovska and Vadym Maslii; formal analysis, Vadym Maslii;
investigation, Vadym Maslii; data curation, Vadym Maslii.; writing – original draft preparation, Nataliia
Dziubanovska; writing – review and editing, Nataliia Dziubanovska and Vadym Maslii; visualization,
Nataliia Dziubanovska; supervision, Nataliia Dziubanovska; project administration, Nataliia Dziubanovska.</p>
      <sec id="sec-6-1">
        <title>All authors have read and agreed to the published version of the manuscript.</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>Conflicts of interest</title>
      <sec id="sec-7-1">
        <title>The authors declare no conflict of interest.</title>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>Declaration on Generative AI</title>
      <sec id="sec-8-1">
        <title>The authors have not employed any Generative AI tools.</title>
      </sec>
    </sec>
  </body>
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