The endgame is the last part of a chess game, I think, in which there is no way out for a player, or maybe in which the Queens have gone (I don't play chess). I wonder if there is some confusion here between 'endgame' and 'end play'. As someone familiar with chess, but not an expert, the endgame happens at the end, when only pawns and a few minor pieces remain on the board (and the kings of course).
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