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Why did I lose -> I thought I can swap king and castle to avoid checkmate? [duplicate]

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[FEN "6nN/Bp1k2pp/2n5/p7/Q4R1P/5pP1/P3qN2/4K2R w K - 0 1"]

As you can see my king got checkmated through the enemy's queen and pawn.

My question is, why is this a checkmate? I haven't moved the king as well as the castle to the right.

Why can't I swap them, so King=g1 & castle=f1, saving the king and evading checkmate?


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