The Bruins showed some fight in their season finale on Tuesday at the Garden, but in the end they just couldn’t finish the job.

The result was emblematic of their season.

The B’s wiped out a two-goal deficit only to see Brian Dumoulin beat Jeremy Swayman from the top of the left circle in overtime to lift the playoff-bound New Jersey Devils to a 5-4 win.

The point gained in the OT loss also muddied the B’s draft positioning, as they pulled even in points with Philadelphia, who lost to Columbus on Tuesday. The Flyers have one game left against Buffalo and if they get a point, the B’s will finish with the fourth draft slot. If they’re tied in points, the B’s will bump up to the fifth slot becuase tey have the tiebreaker over Philly in regulation wins. With the lottery factored in, the B’s could pick first, second, fourth, fifth, sixth or seventh at the moment.

The Devils had been limping toward the post-season, coming into the Garden on a three-game losing streak which included the B’s 7-2 shellacking of them in Newark last week.

But they came out of the gate strong, peppering Swayman with the first six shots of the game and taking the first lead at 7:25. Timo Meier took a feed from Brett Pesce and, from a prime scoring area inside the right circle, beat Swayman to the far side over the blocker.

The B’s – namely, their top line – pushed back. On a delayed penalty, David Pastrnak fed Seventh Player Award winner Morgan Geekie, who ripped a long-range one-timer over goalie Jake Allen’s should to even it at 8:43, his 33rd of the season.

The goal extended Geekie’s career-high point streak to 11 game (9-10-19).

The line wasn’t done. Just 29 seconds into the second period, Pastrnak took a feed from Elias Lindholm on a rush down the slot, kicked it to his blade and beat Allen on a backhander that looked too easy. It marked Pastrnak’s sixth-straight multi-point game (6-11-17 in that span).

The Devils got even on a power play at 4:07 when the B’s were five seconds away from killing off the Fabian Lysell hooking infraction. Swayman thought he had covered a loose puck just outside his crease, but it had squirted out free. Stefan Noesen spotted it and swept the puck into the empty net.

And as has so often been the case in this lost season, the B’s then gave up the go-ahead goal just 30 seconds later. Old friend and Billerica native Marc McLaughlin won a Boston zone faceoff back to Simon Nemec, who put it quickly on net. It looked like an easy blocker stop for Swayman, but instead of the intended directional rebound into the corner, the puck popped up behind Swayman and dropped into the net.

New Jersey doubled their lead at 13:27 on another power play goal. On a beautiful tic-tac-toe play, Luke Hughes dished to Nico Hischier who then relayed it to Dawson Mercer for the tap-in.

But just when B’s draft-minded fans could start tasting the fourth slot, the B’s pulled back within one on another first NHL goal. John Farinacci, who was making his NHL debut with Frederic Brunet, tracked down a rebound and snapped it over Allen’s shoulder to make it 4-3 with 3:07 left in the second.

Then they tied it up at 5:08 of the third on a nice play from Lysell. He outskated Brenden Dillon and then gained inside position on the rugged defenseman. He took the puck behind the net and fed Marat Khusnutdinov out front for the equalizer.