Fundamental group of Galois covers of degree 6 surfaces

In this paper, we consider the Galois covers of algebraic surfaces degree 6, with all associated planar degenerations. We compute fundamental groups those covers, using their degeneration. show that for 8 types degenerations, group cover is non-trivial and 20 it trivial. Moreover, Chern numbers type degeneration prove signatures are negative. formulate a conjecture regarding structure based on our findings.