Here is the heart of the dilemma.
You refuse to define god, and then assert that nobody can prove that this totally vacuous concept does not exist.
You are correct. So what? You have added precisely nothing to the sum of knowledge.
Every word has to have an agreed definition or it is just a noise.
You want to use a word with no definition. This is con-trick.
As soon as somebody defines "god" then we can prove beyond all reasonable doubt that it is a fantasy.