You need to be a bit more expansive. Turing-computable functions need to halt and return eventually. (And they need to be proven to halt.)
> We know of no mechanism that could allow humans to exceed the Turing computability that AI models are limited to.
Depends on which AI models you are talking about? When generating content, humans have access to vastly more computational resources than current AI models. To give a really silly example: as a human I can swirl some water around in a bucket and be inspired by the sight. A current AI model does not have the computational resources to simulate the bucket of water (nor does it have a robotic arm and a camera to interact with the real thing instead.)