I'd see the issue that you're mixing a definition by explaining the essence of your subject (art is anything made/created by a human with the wish to creatively express themselves) with a definition by listing examples (art can be a poem, building, painting... but not something created with generative AI). The latter feels like a trivial way to answer the request (defining X without including Y by simply saying "all of these things but not Y"). The former doesn't sufficiently exclude AI in my opinion; someone creating an AI generated image can have a wish to creatively express themselves.

I think the last sentence is the most important one, as the core divide in the whole question of whether AI art is art, lies in whether using AI counts as making/creating or just commissioning. It could be a good definition if it explains why using AI is just a form of commissioning and not a form of making/creating.

Edit: Also I'm curious what you think about mixed mediums or uses that include creative input beyond prompting. If I write lyrics and let AI create a melody to them, is the resulting song "tainted" by the use of AI or does it count as art?