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CASTLE - "Overkill" -- A robbery-homicide prompts Beckett to invite Demming to assist on a case, giving Castle a ringside seat to their budding romance. When it becomes clear that the two men have very different ideas about how to proceed, the investigation becomes an unspoken competition for Beckett's attention, one in which each man races to solve the case, as Beckett referees between her two admirers, on "Castle," MONDAY, MAY 10 (10:02-11:00 p.m., ET) on ABC. (Photo by Karen Neal/ABC via Getty Images) MICHAEL TRUCCO, STANA KATIC

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