This argument is incoherent.
I can prove that institutional racism exists and patriarchy exist in modern society. The same cannot be said for a god.
I can prove that institutional racism exists and patriarchy exist in modern society. The same cannot be said for a god.
Patriarchy and institutional racism are even ascribed agency, they "want" to hurt people, rather than merely being general forces such as gravity or a fluid flow.
If we are digging into the bedrock of "can a thought exist" then you are not worth talking to.