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Something about facing the Miami Heat still brings out the best in Paul Pierce. Jason Kidd isn’t half-bad against them, either. Pierce scored 17 of his 29 points in the third quarter and delivered two crucial scores late, Shaun Livingston created a turnover on the game’s final play and the Brooklyn Nets topped the Heat, 96-95, Wednesday night in Miami — moving to 3-0 this season against the two-time defending NBA champions, two of those wins coming by a single point and the other in overtime. ‘‘We haven’t had any success,’’ Kidd said of Brooklyn’s perfect mark against the Heat. ‘‘We've just been lucky to win some games.’’ Maybe, maybe not. In Kidd’s past 24 games against the Heat as a coach or player, his teams are 19-5.