This might be my understanding that's wrong, but I assumed that the LLM itself actually can't produce like a UUID, but it can "predict" one, hence why it sometimes hallucinate IDs. So my thinking was, strip that bit out of the AI prompt and output and leave it to the "wrapper" e.g. Claude Code or your IDE to insert the actual ID.

So in the same way that your crypto library don't have its own randomness generator (ideally) and rely on the operating system to provide an API, the agents would rely on their "operating shell" / IDE / application to provide functionality that lies outside the score of an LLM.