Sorry, AA737, but BN did operate the Concorde. It was not in BN livery, and was domestic leg DC-DFW only, but they were operated as BN flights, w/ BN crews.
At DC, a transfer of the aircraft was made to BN (to avoid the cabotage problem), and then transferred back to Speedbird (or was it AF?) at the conclusion of the round trip.
Of course, never done supersonic, and terribly inefficient. Done for prestige, at a time when BN couldn't afford symbolic gestures.
Remember, though, that this was still when BN was the only airline at DFW with enough traffic to have its own terminal, and it was nice.
Of course, AA had Sabre, and used it to good advantage in its competition w/ BN. But that's another story.
...three miles from BRONS, clear for the ILS one five approach...