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It is not that moves are repeated (although that is usually the case,) it is that the board position is repeated for a third time. If the same board position is repeated for the third time, with the same side to move, than the game is a draw.
The three-time repetition rule usually involves position rather specific piece movement. So if the same position, with the same number and type of pieces, is repeated three times it is considered a draw. Players need not consider positions before a capture or promotion, regardless of the particular rules of a variant(such as drops, spawning, etc.) And this raises a question: In games with drops, does the pieces in hand count with the position on the field?
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