Maybe if you chose one tiny sliver of human cognition like memory and isolate it

But if we're playing that game then computers exceeded human cognition 80 years ago when ENIAC replaced human computers at doing arithmetic. If you count mechanical computers then it's 1000 years ago when mechanical tools were used to perform astronomy calculations.

Generative AI hasn't produced anything that exceeds human capability in any field. It's probably impossible for it to exceed human capability, since it's a statistical model of human output.