What about coding when you are simply incapable of learning it?
In what situation would it be literally impossible for you to learn to code, where you would also have access to LLMs? If you have access to LLMs, you have access to a computational device of some kind.
I cannot put it together because [I] cannot code.
You can learn to code.
Should I be banned from ever making my dream game?
No. But if you have an LLM program the game, you have not made it yourself. So in a situation where you use generative AI here, you still have not made the game.