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That is stockfish on the position. What is your mate in three?
1. Qb3 Re1 2. Kd6 Ke8 3. Qg8#
This was in an endgame book I was reading. I realize that black can prolong it. I think this example is if black tries to keep his rook.
I like it , it shows the importance of using mating threats to force ones opponent to make concessions. Rook and Queen endgames can be crazy complicated.