I'm not going to read through all the responses here. In general, I agree with their challenges to your methodology. But say for argument's sake that you have proved the existence of God. Nothing in your reasoning says anything about the nature of God. Most people would say that Pablo Picasso is a great artist, but in private life he was by most standards a terrible person. Similarly, a God who enjoys symmetry may also enjoy watching babies suffer. It's more productive, I believe, to pursue the nature of God through non-rational methods, e.g. meditation or prayer than through mathematics.

But if you want a logical proof of God, you could check out Godel's ontological proof:

https://mindmatters.ai/2021/06/godel-says-god-exists-and-proves-it/

It may be, however, that Godel's proof says more about the limitations of proving something using logic than about the actual existence of God.