I think performance rating only depends on the result of the game, and the ratings of you and your opponent before the game. It isn't affected by how "well" the game is played, per se. So I don't think there's an engine that detects at what rating game was played. At best you can only get a human estimate.
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Hi, I was thinking whether there is some sort of chess engine out there that can detect at what level of chess a particular game was played at and then assign elo ratings to white and black depending on how well they played.