Impact of particle production mechanisms on pseudorapidity distribution and directed flow in Au+Au and Cu+Cu collisions at <inline-formula><tex-math id="M1">\begin{document}${ \sqrt{{\boldsymbol s}_{\boldsymbol{ NN}}}}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2025-0039_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2025-0039_M1.png"/></alternatives></inline-formula> = 19.6 GeV using AMPT model

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