Can you copyright AI products?

I am no fancy copyright lawyer, but if I understand the legal situation in the US, you cannot claim copyright unless there is a human being involved. There was a case a decade ago with a photographer setting up a camera that a monkey or ape used to take a selfie. PETA sued on behalf of the animal, claiming the copyright, and the court ruled that only humans can have copyright so the picture had no copyright.

Though the prompt fans will probably claim to be artists, so I guess more legal wrangling.

Probably ending in something like every time an AI image is created Disney get a cent. And following that, to combat piracy, social media platforms demand proof of current AI subscription to upload image. Sure, in theory you can upload an image you yourself has created without AI, but in practice the algorithm will find it to similar to something else and execute automatic takedown. Isn't it simpler just to pay your AI/Disney tax?