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Present study explores the properties of strange quark matter (SQM) or strange quark star (SQS) within the Polyakov extended chiral SU (3) quark mean-field (PCQMF) model. Using β-equilibrium condition in the PCQMF model, the analysis of pressure density, and equation of state (EoS) of SQM for different values of vector coupling constant is carried out. Three different conditions of Proto-Quark Star (PQS) along the star evolution (S/n B= 1, Y l= 0.4; S/n B= 2, Y vl= 0; S/n B= 0, Y vl= 0) are considered to perform the theoretical simulation. Providing a significant vector coupling constant, the change in pressure with baryon density is found to be more as compared to zero vector interaction. Further, pressure density shows monotonically and smoothly increasing behavior with an increase in the energy density. The study thus carried out, anticipated to give a better insight in understanding the properties of matter inside …