I would like to be able to have an AI agent book my flight. Airline websites are often horrible to use and it's annoying having to fill out all the details. On more than one occasion I've had to book through a third party or choose a different flight because the airline's website was broken and I couldn't complete the transaction.
Google flights is great and I use it every time I want to fly, but it's very rare that you can purchase the actual flight on google flights too.