That angle of that NCL picture is somewhat misleading, the 77W typically leaves at least 2,000ft of runway to spare, normally more. The 77L is even more impressive having personally experienced a 3500ft run flying NCL-DXB, A6-EWF (156 pax) but IIRC we were full of cargo.
Hence my comment that the 77L would more than likely be absolutely fine flying out of BRS.
EDIT: I think this illustrates it quite well, this was the 75th anniversary and the aircraft had 419 passengers (
AFAIK still a record on a scheduled flight from NCL). I was also lucky enough to be on this flight by pure coincidence.