Yes it's a codeshare (BA ticketed), with Qatar. Frustratingly I was on to an agent, finally got to get in a queue - she was part way through moving me to the earlier evening before flight, and we got cut off. Back in queue....but that flight with one seat looks like it's gone.....
On one ticket, cash - there'll be no push back getting you on to one of the many LON-DOH services to ensure you meet your connection