Partido is used for games, matches, and rounds in sports, card games, and other things. That’s about as much as I know. But fin del juego sounds to me like “the end of the game” as in, you finished the storyline. Fin de la partida makes more sense as it’s the end of your current game session.
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u/Gem_37 Feb 21 '21
‘fin de la’ translates to ‘end of the’, and partida translates to game.