If you're truly honest about wanting to improve your skills then do not use AI!
Just write code. Any code! It doesn't matter. Spend the hours problem solving and debugging and banging your head against the wall. That's how we all learned and gained experience. But also reach out and seek help about specific problems you can't solve.
For a project idea, how about a program that uses the Lemmy API to scan resent posts for Python topics. It's something that can start basic but can be expanded upon. Start simple by just scanning posts from the last day. Then expand by adding a configurable date range, scanning several communities, multiple topics, presenting notifications, etc.