Maybe there's a way to use your Max plan? I heard OpenAI works the same way, there's a way to use the codex cli with your chatgpt subscription (I think it gives it a jwt token or something). There are 3rd party tools that can then use the same token to make API requests via the subscription, instead of via API billing. (Which is sort of allowed, since the cli is open source?)

I'm guessing claude code works roughly the same way?