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Why are these the only moves?

In this position, why are the only 2 winning moves according to stockfish Re4 and Re8. What about Re3, Re1, etc?

https://lichess.org/WVELtUM7/white#114

In this position, why are the only 2 winning moves according to stockfish Re4 and Re8. What about Re3, Re1, etc? https://lichess.org/WVELtUM7/white#114

Re8 indirectly protects pawn f2: ...Rxf2 Rf8+
Re4 counterattacks pawn g4: ...Rxf2 Rxg4
Re1 or Re3 lose pawn f2: ...Rxf2

Re8 indirectly protects pawn f2: ...Rxf2 Rf8+ Re4 counterattacks pawn g4: ...Rxf2 Rxg4 Re1 or Re3 lose pawn f2: ...Rxf2

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