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Yes, there's a very small difference – one needs to eliminate everyone, including the town, while the other needs to win together with the town. The Sheriff, if unsure, will likely investigate rather than kill. He will then have a definitive result: mafia or not mafia. The Doctor and Cop remain. One can heal, and the other can block the killer or the victim (thereby saving them from death). The Serial Killer is not needed in the current situation, but you have votes on the Werewolf, Beaver, and Kitsune.