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Puzzle Question

cxb7 keeps the opponent's queen on the board. Of course, it's winning. But from a practical point of view, I'd rather take the queen for a bishop, than win a pure rook. And if you count points 9-3 > 5, right? :)
I did a puzzle i the end link was 30156 and the correct combo was rb8+ bd6+ be7, but wouldnt bc7 work as well? then qd8+qxe8+qxh8 checkmate if someone knows can you send me a message
cxb7, Bd7, bxa8Q, Qxa8 and there she lives :D

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