That's what I kept telling them. It took them 3 hours to figure it out, but eventually I got myself a BP.
(I missed the first flight i could have gotten on, which had plenty of room; got bumped off the second just now; and now I'm waiting for 2 hours before the next one.)
Also the agents had no helpful info on how to avoid the hassle in the future! So that was kinda nice. /sarcasm.
I guess I'll show up 4 hours in advance next time, because 2.5 wasn't enough today.