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Okay, you're right. A Wazir can't check a King without being adjacent to it, which allows the King to capture it. So it must be protected by its own King to checkmate the enemy King. But the King cannot both protect the Wazir and cover all the spaces the enemy King might flee to, because to do both, it would need to be adjacent to the enemy King, which it can't do, because that would put it in check. A piece that covered two orthogonally adjacent spaces would not need protection from its King, leaving the King free to cover the remaining spaces.