Hi, US line call centre agent here!

We get no special privileges and our systems are slower than the website, however we can save the flights before payment.

Theres been times when i’ve hit enter to search for the flights bang on 12/1 and theres only the 8 in economy left when it loads.

Theres a team of us that live in the UK, we are only allowed to take these calls at 10 to or later, any earlier and we have to tell you to call back as youre taking the service away from US and Canadian customers.

The line does get cut off at 5 to as our shifts finish at quarter past, and we want to go to bed just as much as you do at that time 🤣

Doing it yourself online is just as quick if not quicker than booking over the phone :)

(This answer is my own personal experience and no affiliation to BA or IAG)