Tlusty's second goal was into an empty net with 1:14 remaining.
New Jersey got two goals from Ilya Kovalchuk, including a short-handed tally, and one from Patrik Elias but that wasn't enough for the Devils to avoid their seventh loss in eight games without top goalie Martin Brodeur.
Johan Hedberg stopped only 13 of 18 Carolina shots through two periods and was replaced by Jeff Frazee to start the third.
That was something I've been dreaming of, something I've told myself before the third period I was going to do ... It was an amazing feeling. It's hard to describe. I didn't believe it went in at first but when I saw all the reaction and all the fans going crazy and my teammates going crazy, it's just an unbelievable feeling. I didn't know what to do. I didn't know whether to jump or just skate and do a Theo Fleury. I don't think I'm the same caliber player he is so I couldn't do it.
— Flames forward Mikael Backlund on scoring the overtime winner against the Ducks in Gm. 3