> However, even if the BSD/Apache/MIT licensed code can be incorporated freely in your application, you still have no right to remove the copyright notices from it and/or to claim that you own the copyright for it.

I can't speak for all licenses, but I'm familiar with at least one BSD license. That's almost the entire point of it...

You cannot take their literal code and call it your own. You can derive code from it and call it your own. That's what LLMs primarily do.