\begin{document}$\rm CP $\end{document} symmetries in the charm system through the measurement of asymmetry decay parameters in the three-body decay of \begin{document}$ \Xi_c^{+} $\end{document}. By incorporating electron and positron beam polarization effects and utilizing the helicity formalism, we characterize the decay of \begin{document}$ \Xi_c^{+} $\end{document} and its secondary hyperons through asymmetry decay parameters. The complete angular distribution formula for these decays is systematically derived. Our study evaluates the sensitivity of the asymmetry parameters for the \begin{document}$ \Xi_c^{+} \to \Xi^{-}\pi^{+}\pi^{+} $\end{document} decay channel under various data sample sizes and beam polarization scenarios. The findings establish a robust theoretical framework for future experimental studies at the Super Tau-Charm Facility, providing valuable insights for symmetry investigations in the charm sector."> Study of P and CP symmetries in <inline-formula><tex-math id="M1">\begin{document}${ \boldsymbol\Xi^{\bf +}_{\boldsymbol c}\rightarrow \boldsymbol\Xi^-\boldsymbol\pi^+\boldsymbol\pi^+ }$\end{document}</tex-math></inline-formula> at electron-positron collider -
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