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Engine Analysis is spitting facts!

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VergilChessDMC

My opponent spent literally a second on deciding his move and payed the price. What black should've done was Kd8!, moving out of check and continuing the threat on the a3 and d4 pawns. This position is a draw at engine level, but at the top level, this might be a bit difficult to defend as white. The reason I sacrificed my rook (before fxe6??, I played Rxe6+!! to level out the playing field) was to trick my opponent to play fxe6, which he played, and so I won his queen and went on to win the game. 

Express your opinion below. Try to find a way white can survive after Kd8!

VergilChessDMC

idk XD