\subsection{The Use of Large Language Models (LLMs)}
\label{sec:appendix:llm}

In this paper, \textbf{LLMs are used solely to aid in refining and polishing the writing}. Their role is limited to improving sentence structure, clarity, and overall fluency. All content, ideas, and research are independently generated by the authors. The LLM-generated content is reviewed and integrated by the authors to ensure accuracy and coherence. LLMs are not involved in any data generation, experimentation, or technical methodology. The authors take full responsibility for the final content.
