Just booked JFK-HKG-BKK for January 3rd...BA was showing 4 First seats available, but agent could only see seats for JFK-HKG...asked her to search separately for HKG-BKK and she was able to see the availability I was seeing on BA for the connection. Was able to nab both into a single reservation in about 20 minutes. Was the first time an AS agent wasn't able to book a ticket I found availability on BA smoothly - with 4 seats showing, I thought it would be a breeze. Worked out in the end, but not without some hold time. Agent was friendly and excited she could book it all for me!