Well, if the entire thing was generated, then no (according to the first link I posted above), since it was not produced by a human. However, no useful program is going to be entirely written by an AI, so any real program would have quite a lot of user input (I regularly will take what copilot suggests and then tweak it to what I specifically want). And then, yeah, it's copyrightable.
Also, there's no way for anyone to know what portion of code that I commit was hand written vs. generated, so you kind of have to treat it all as written by the committer anyway.
Though this does bring up interesting questions about what happens with things like automated PRs that fix bugs / update dependencies... are those then non-copyrightable? ¯\_(ツ)_/¯