New Line’s rushing to start “Rush Hour 3,” officially greenlighting the sequel with the aim of launching production in late summer and releasing it next summer. New Line signed Chris Tucker, Jackie Chan, director Brett Ratner (“X-Men: The Last Stand”) and screenwriter Jeff Nathanson last fall to reunite for the sequel. “Rush Hour 3” will be set in Paris, where Tucker and Chan’s characters will battle a wing of the Chinese organized crime family, the Triads. New Line hasn’t set a specific release date for “Rush Hour 3.”