The important distinction here is that the AI is not "autonomously going out of its way to book flights" or whatever you have in mind.

I want to ask the AI to search for flights to my next trip, with x y z restrictions. It shows me the flights and gives me options A B and C. I tap B and it goes and books it for me. That's no different than a traditional experience like Kayak except that instead of pressing "book now" and manually filling in the details (or rather: these days letting safari autofill) I press the "LGTM" button and software fills in the rest.

ETA: the shopping experience is the same. I don't want my muse (or whichever) agent to "autonomously" "decide" to purchase an item for me that I've mentioned off hand at some point in time. The use case is treating muse as an addition/alternative to the traditional search experience.

"hey muse I want to buy a new tv, what are the popular/good models from 2025+ with reviews from reputable websites? Shortlist me ~3 within x-y budget also ensure that the local Best Buy or Costco has it in stock so I can pick it up. Actually also let me know if the box will fit in my Toyota or if I need to rent a van. Also for each positive review find me a negative review to balance it out."

And then after I do my own reading on what it surfaced me, I just say "ok muse place an order for the top option, schedule a pickup time for Saturday"