Question: A stone game is between two smart players ( A and and is played with three heaps of stones, each with 2 0 2 3

A stone game is between two smart players (A and and is played with three heaps of stones, each with 2023,2024,2025 stones respectively. The two players (A is making the first-move) alternate taking some number of stones from the three heaps, according to the below rule (*). The player who cannot do this loses.Rule (*): one player must take 2 stones from one heap, 1 stone from another heap, and 0 stones from the third heap. There are six (i.e.3!) possible first-moves for A.How many of the six moves can ensure A wins this game?

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