But machines don't do that. AI will never invent a new genre of music, or a new style of painting. It can iterate and improve upon what it already knows. That's it.

All it's doing is running really fancy math that humans invented, that humans programmed into it, to analyze thousands of works made by humans, and spit out variations on it. It's a Netflix recommendation on steroids.

And no, computers don't "have ideas" because ideas are spontaneous. Computers produce output, and they do so because that's what human beings instruct them to do.

ETA: show me the AI algorithm that, when trained on centuries of baroque and mannerist paintings, invents impressionism. Show me the algorithm that, when trained on centuries of Bach and Haydn, invents jazz.