Kerby Rychel would pull the Canadiens even just past the midway point of the third, when off the face-off, he deflected Jeff Petry's wrist shot from the left side boards in front of Mason, and found the puck found space just inside the post.
But the tie wouldn't last long, as 24 seconds later, a centering pass from Kyle Connor slid through the slot to a pinching Sami Niku, who beat Carey Price with a wrist shot through the five hole, restoring the Jets lead.
"We were talking about antifreeze in the veins. That's the way he looked, pretty cool out there," head coach Paul Maurice said of Niku, who was paired with Byfuglien in his NHL debut.
"We left the match up, playing against Montreal's best. There were some challenges in his own end, but we wanted to see him against good competition. In the end, he was on the ice for a few, but he had the confidence to get up into the rush and finish a play off, and beat a guy to the net in overtime to create a great scoring chance. There's lots to like there."