The Bulldogs now lead the series 2-1 with Game 4 going Saturday at Hamilton.
Mike Keane and Brad Moran added goals for Manitoba.
Corey Locke and Danny Groulx replied for Hamilton.
Drew MacIntyre allowed two goals on eight shots before being replaced by Wade Flaherty, who stopped all 19 shots he faced the rest of the way for Manitoba. Carey Price made 25 saves in a losing effort.