Dewar, who entered with one assist in 10 games, returned the favor 22 seconds later when he earned an assist on a Sturm goal.
Both Dewar and Sturm had multi-point nights and Duhaime, who was originally credited with an assist that was later awarded to Alex Goligoski, finished the night a plus-3.
"It's fun ... and we used to joke about, 'when we're in the league,' and I thought it was very fitting that it was those two were the first guys to hug me when I scored tonight," Dewar said. "I've kind of taken pride in my whole career I think. Every time you see me play, I'm a better player, every day. That's the way I want to try."