Sei Heroine ni Tensei Shimashita ga, Unmei no Haguruma wa Butsuri de Buchiko Washimasu

Viscountess Sonia suddenly regains memories of her past life—she's been reincarnated as the heroine of the otome game "Saint Project." Now able to see the "gears" that control people according to the script, Sonia sets out to avoid a future where she ends up with the crown prince and other high-ranking nobles who are her love interests. The only way to break their "gears" is to hug them?! Source: MU