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Yes, I've also been thinking about Shizuo's actions, and it seems to me that the most logical combo he could pull off in the first two nights would be to use Inari's preparation first, and then use a Mafia protect on himself. And then repeat it in a loop if nothing changes in the situation.
Then, for me, the Cop becomes even more of a Town member; I want him to get involved and talk to us.