The Bolts trailed 3-0 after the first period but scored the next three goals, including the equalizer by Teddy Purcell 8 minutes into the final period.
After a scoreless overtime, the game moved to a shootout. Moore got the only goal in the tiebreaker when he stuffed a forehand shot past Florida's Jose Theodore.
Duane Roloson stopped Sean Bergenheim's wrist shot on Florida's final chance.
Roloson turned aside all 28 shots he faced in relief of starter Mathieu Garon, who allowed three goals on 12 shots in the first period.
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