I have this idea that probably violates some law of computing but I am really stubborn to make it happen somehow.

I want a game that generates its own mechanics on the fly using AI. Generates itself live.

Infinite game with infinite content. Not like no mans sky where everything is painfully predictable and schematic to a fault. No. Something that generates a whole method of generating. Some kind of ultra flexible communication protocol between engine and AI generator that is trained to program that protocol.

Develop it into a framework.

Use that framework to create one game. A dwarf fortress adventure mode 2.0

I have no other desires, I have no other goals, I don’t care. I or better yet - someone else, must do it.

It sounds doable. An AI can be made to keep modifying a game's codebase. I imagine it'd be easiest to separate out a scripting layer for game mechanics & behavior that AI can iterate quickly on, although of course it could more riskily modify the engine itself.

Then you could open voting up to a community for a weekly mechanics-change vote (similar to that recent repo where public voting decided what the AI would do next), and AI will implement it with whatever changes it sees fit.

Honestly, without some dedicated human guidance and taste, it would probably be more of a novelty that eventually lost its shine.