Columbus didn't wait long to tie things up as 1:28 later, Seth Jones grabbed a loose puck at the Jets blueline, blew past Nikolaj Ehlers and beat Brossoit on the short side to make it 1-1.
With just under three minutes left in the period, Anthony Bitetto floated a shot from the point that Connor used some nifty hands to redirect over Merzlikins glove and it was 2-1 Winnipeg. It was Connor's 15th goal since December 1st and he trails only the Leafs Auston Matthews (18) for most goals over that stretch.
That lead lasted 1:28 into the second period, when Oliver Bjorkstrand touched the puck to Dubois, then sidestepped Sami Niku and one-timed a return pass from Dubois to even it at two.
The Jets power play went to work quickly following a Zach Werenski tripping penalty on Scheifele. Just eight seconds into the man advantage, Pionk let a shot go from the point and it went past Merzlikins for the Jets third lead of the evening.
Columbus tied the game again with a power play goal of their own, Dubois took a shot from the left face-off dot that trickled through Brossoit's pads and sat in the crease. Gustav Nyqvist dove and put the puck in the open net for the 3-3 marker.
It stayed tied all the way up until the 14:22 mark of the third when Bjorkstrand gave Columbus their first lead of the game fighting off a Dmitry Kulikov check and then finding the small space between Brossoit and the post on the short side to make it 4-3.
"No. That one definitely, that one's frustrating," said Brossoit.
"Obviously a sharp angle like that I don't care. I'd like to have that one."