Quizproquo; Your 'paradox' neither proves nor disproves anything, it is as I said early on, based on a false premise and cannot be taken seriously (I think I said it was infantile), we cannot set puny hypothetical tests.
We cannot say "God exists" and "we exist" in anything like the same way, we cannot argue from one to the other - from our being to that of God.
God is unknown and unknowable, a mystery. When we are aware of this it generates awe, reverence and an admission of incomprehension.
Augustine said, "if you comprehend it, it is not God" and, invenitur quaerendus - "he is found in order to be sought".