How does annabeth trick the monsters and get all three past the gates?

In "The Sea of Monsters," Annabeth cleverly uses a combination of strategy and deception to trick the monsters guarding the gates. She disguises herself and her companions using the Mist, which allows them to appear as if they are part of the monsters' own ranks. By creating a diversion and exploiting the monsters' lack of attention, she leads Percy and Tyson safely past the gates without drawing suspicion. This demonstrates her quick thinking and resourcefulness in dangerous situations.