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garnzlok
For the game genre there need to be significant game like elements like stat sheets, ability scores, skills and levels.
even though she's a project games villain the otome game is set up more like a choose your own adventure book. Since she's making the choices herself by living it's more a character transported to a novel world, rather then a Character transfered to a game world.
(TL,DR otomes are visual novel rather then video games.)