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You can always add another copy of a game by using the green + button and differentiate your plays like that. Hope it helps, merry Christmas!
Unfortunately game plays aren't tied to a version of the game (they really should be, and there's several threads from the last many years here in the Suggestions forum to request that they are), but only to the main game DB entry, so this doesn't work. All logged game plays would show up for both copies.