We can't locate the centre of the universe because there isn't one. Every part of the universe was part of the big bang and there are numerous dulicatesduplicates on Physics SE that address this. e.g. What is our location relative to the Big Bang?
What is our location relative to the Big Bang?
Does the universe have a center?
Can the coordinate of the big bang point be calculated via observed universe or it is impossible?
Did the Big Bang happen at a point?
Is the rate of expansions in all directions the same?
You are essentially asking whether the universe is isotropic? Most cosmological models assume that on large scales ($>100$ Mpc), that this is true.
Observationally, it is - to a very high degree of precision - once you remove the motion of the Galaxy with respect to the cosmic microwave background rest frame. But there are intriguing recent, and highly contested results, that suggest the rate of expansion, and particularly the acceleration of the rate of expansion, do show some anisotropies (e.g. Feindt et al. 2013; Colin et al. 2019) that may just be due to a large part of our local part of the universe being part of some bulk flow (or something else).