True, you have to look at copyright law as well. The only thing that can create a new work with copyright according to both US law AND the international convention is a "natural person".
It cannot even be a company according to the law (because copyright is split up in my textbook into what's called natural rights, such as authorship, and economic rights, such as the right to set a license. It must always have a natural person origin because that natural person retains the right to state they were the author forever, no matter what agreements he or she entered into. Meaning it's never the employer that gets that right)
That means what the AI created is new (not always) but also not copyrightable. What will vibe coding companies do when they realize none of their software is protected by copyright? A EULA can’t prevent the use of public domain works. (In reality everything will increasingly move server side and no one will be able to access anything resembling code anyway).