I would try using AI to book flights - then double check if I can't get a better offer. Do this a couple of times and when I see AI is as good or even better at getting me flights, then sure, why not use it.
Extrapolating from my experience testing it for coding tasks the result is not reliable even if it was right a couple of times. A risk I'm not willing to take. And I can't say that AI powered chat assistants on web pages have been much help either.
You can even automate this kind of testing in the AI model. I think the Google ADK has a built-in system for tests you use to confirm the reply quality.