Mangiapane cut the lead to 2-1 at 15:13 on the power play, tapping in a rebound off the body of teammate Matthew Tkachuk, and tied it 2-2 at 6:40 of the third period on a loose puck in the slot.
"It was 2-0, and [the Predators] maybe thought like it's going to be an easy game," Vladar said. "Then, all of a sudden, we got those bulldogs in front and they just score. It doesn't matter how. It can be nice, it can be ugly, whatever, they just score. Guys are blocking shots in front of me. As the season is moving on, it's more and more fun."
Mikael Granlund scored the deciding goal in the shootout, and Saros made saves against Johnny Gaudreau, Tkachuk and Tyler Toffoli.
"There's a mental component of the game and a toughness component of the game that is required to win," Hynes said. "It's required to make the playoffs. We're still in the hunt to be able to do that.
"But I think it's embracing high-stakes hockey, embracing what the games are like when you play against really good teams or playoff teams or down the stretch, where every game matters and your decisions matter."
NOTES:Tkachuk had an assist and has scored 99 points (30 goals, 69 assists) this season. He needs one point to become the eighth player in franchise history to reach 100 points in a season, joining Kent Nilsson (131 points in 1980-81, 104 points in 1982-83), Joe Mullen (110 points in 1988-89), Hakan Loob (106 points in 1987-88), Theoren Fleury (104 points in 1990-91, 100 points in 1992-93), Mike Bullard (103 points in 1987-88), Al MacInnis (103 points in 1990-91) and Gaudreau (108 points in 2021-22). … Gaudreau had an assist, and has scored 108 points (38 goals, 70 assists) for third-most in a single season in franchise history ... Flames forward Brett Ritchie had two shots on goal and three hits in 8:56 of ice time after not playing the past three games.