So, it sounds like the essence of TAG is that it isn't a proof of God's existence so much as an appeal to accept it as an axiom.
Always trying to miss the point, rather than grasp the fact first and then get the point, right? You do accept that 2+2=4 is true, don't you? So why based on the same standard of logic that you accept that as being true, all of the sudden, another axiom just like it from the same standard of logic is something that can just be dismissed as trivial? The fact of the matter is that until now, though you apparently still won't think it through for yourself and see it, you were not even aware of the fact that such an axiom existed. You thought all the arguments were indirect and evidentiary. Yep. Deeply embedded emotions that won't let you be objectively sound in your thinking.
Maybe. I accept 2 + 2 = 4 as an axiom because every time I have two, and get two more, and count them up, I have four. But as far as gods, well first of all, which god? What claims are you making about this god? That he exists as a concept in your mind? I believe you. That he created the universe? Like I said, I suppose it's possible, but it's certainly not self-evident or obvious. Nothing I can justify accepting as an obvious axiom.