Existence is the default status of reality and the link to God.

It doesn’t, the only thing that would prove God, would be God, which would require super or inhuman feats similar to the biblical stories and other various myths. If you wanted to prove Yahweh, he would level whole cities over his name being uttered, where as proving Jesus would need some serious matter/energy manipulation, and the list can go on an on.

There a story of Buddha, where the theist was told God doesn’t exist, but told the atheist that God does, so that a bit of a conundrum, especially from Buddha.

Not only that, but when it comes to writing down genetic code, it would have alot more volume compared to the bible or most books so even then, would be a tiny fraction of the sheer complexity of creation an existence, to just simply being.