Come into the lab and submit to a very thorough enquiry.
That would tells us nothing, because you are still axiomatically taking for granted that the universe/the world/everything/God/the aliens controlling the computer simulation you in are/and so on is/are fair and not tricking you, but you can only know that, if you are not you and you are in fact God.
That is the limit of your axiom. It is not independent of your mind and thus tells you nothing about reality as independent of your mind.
It appears that you actually think, that because your axiom makes sense to you, it is true in the objective sense as independent of your mind.
What is it with some non-religious humans and their belief in effect that axioms are true of as independent of the mind. To me that is the same effect in practice as that God makes sense to some religious humans and thus God is true.
A skeptic you are not.