As you can see from the rule, there are nuances. You must claim the draw when you are moving into the repetitive position.
"Third repetition of a position. If any identical position appears three times during a game, then the game can be claimed as a draw. Please note that each repetition must be identical with regards to en passant and castling availability. A draw can only be claimed along with a move that contributes to a repetition. Claiming after the repetition has occurred is not possible, unless the same position can be repeated again on a future move."
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