AI isn't a legal entity that can do anything, let alone hold a copyright. It is an inanimate box of numbers.

The only two things that can transact with any legal system in any way are humans and groups of humans.

That should be obvious but unfortunately lots of people believe (or have a vested interest in pretending to believe) LLMs are living, thinking, sentient entities and that belief is going to influence the politics and legislation around AI to some unknown degree.