Intresting idea and I don't know why it's considered checkmate because as you said red can block checkmate with his/her bishop
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Hi,
I played a game being greens and checkmated the blues in this move: https://www.chess.com/4-player-chess?g=7591184-138
The checkmated was in my 39th move, but I think it should not be considered checkmated, because another player, the reds, can block the check with Bishop in b11, so if reds makes another move, then now yes, it must be considered checkmated for greens.
So I think it is a bug or this rule is wrong, because if one can checkmated to a king taking into account more than one player, for example blues and greens in conjunction checkmate to reds: something like as blue give check, and the red king cannot move because a square where the king could escape is taken by the greens.
So in the same way, one king in check could be saved by the move of another player, such as blocking the check or capturing the piece that is giving check.
Cheers!