I found economy tickets available on Cathay Pacific from Hong Kong to LAX on October 27th. The BA website still shows 4 available on two different flights that day. However, when I called AA to book the tickets, they say they are not showing any availability on that route then. I called back a couple of hours later with the same result. Any idea what I can do? Keep trying? My travel dates are limited and JAL and CX are the only Asia carriers with Oneworld.