You mean the chess AIs?
They basically try moving every piece, look at what that might do, then iterate and check every possible move they can do from that new position, then every possible position from each of THOSE positions, etc….then do that again with the next piece.
Using this web of possible actions, it picks the most advantageous.
The more moves ahead it can look, the more processing power it needs, but the “better” it can play.
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