Phoenix reeled off a third straight win with the help of Shane Doan, who supplied a goal and an assist in the triumph.
Mikkel Boedker and Lauri Korpikoski each added a tally to back goalie Mike Smith, who turned aside 31-of-34 shots.
Goalie Anton Khudobin left the game in the second period with a lower-body injury after yielding two goals on 20 shots.
Cam Ward relieved, giving up three goals on 12 shots the rest of the way.
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