Is this a full-fledged or low-cost no frills airline? Most budget airlines don't even provide any final call for specific passengers.
All they do is issue a few 'final calls' that the flight is about to leave, and that's it.
Passengers ××, scheduled to board flight ◯◯...Several minutes later...Your attention, please. We have a passenger call.We're terribly sorry, but the door has already been secured...This is the first time I've seen someone run late to board after check-in...This is the final call for passengers ××, scheduled to board flight ◯◯...
Slump...
I Hear There's Quite a Few
Several minutes after that...Haneda Airport, the boarding lounge...We're the ××s. Can we no longer board?