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Yikes! Lucky Player 1 and Player 4 were total monsters... else we'd be in trouble.

YUP! With a bit of a lull, it might be worth player 3 going to the car and searching with player 1 as back-up in case something bad is found. In other words, player 1 waits for player 3 to complete the search before taking a turn. The remainder of the team can keep attacking while player 4 checks out what the other button does.