Brush the graham cracker crust with melted butter, using a pastry brush. Place the crust in the air fryer basket and air fry at 350 degrees F (175°C) with a cook time of 5-6 minutes until lightly golden. Allow it to cool completely.
In a mixing bowl, beat the cream cheese until smooth. Slowly add the cookie butter and powdered sugar. Beat until well combined and creamy. Gently fold in the whipped topping until the mixture is light and fluffy.
Pour the cookie butter filling into the cooled crust, spreading it evenly. Top with the Cool Whip, sprinkle crushed cookies on top, and drizzle with caramel syrup.
Refrigerate the pie for at least 2 hours or until fully set.
Slice the pie and serve chilled. Optionally, top with extra whipped cream, cookie crumbs, or caramel drizzle for added flavor and presentation.