Forced-losing positions (P) for first player occur when \( n \equiv 0 \) or \( 2 \pmod{5} \); Counting \( n \le 2024 \) with \( n \equiv 0,2 \pmod{5} \) gives \(\boxed{809}\).

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Discussion about Forced-losing positions (P) for first player occur when \( n \equiv 0 \) or \( 2 \pmod{5} \); Counting \( n \le 2024 \) with \( n \equiv 0,2 \pmod{5} \) gives \(\boxed{809}\).

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Forced-losing positions (P) for first player occur when \( n \equiv 0 \) or \( 2 \pmod{5} \); Counting \( n \le 2024 \) with \( n \equiv 0,2 \pmod{5} \) gives \(\boxed{809}\).

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