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Advanced or centaur chess (where the team consists of a man plus a computer chess engine) tournaments routinely consist of 90% draws, and the best players are estimated at 3600 ELO, very close to the theoretical perfect play [1].

You may find Gwern's comments on Advanced chess interesting: https://www.gwern.net/Notes#advanced-chess-obituary

[1] http://www.cse.buffalo.edu/~regan/papers/pdf/RMH11b.pdf