Preheat your oven to 350°F. Spray the bottom and sides of a 9-inch springform pan with nonstick cooking spray and set aside.
In a medium mixing bowl, whisk together the old-fashioned oats, all-purpose flour, baking soda, baking powder, and salt, and set aside.
In a separate large mixing bowl, mix the melted butter, peanut butter, brown sugar, and granulated sugar with a wooden spoon until well combined. Stir in the egg and vanilla extract until no longer visible.
Add the oats and flour mixture to the bowl with the butter mixture and stir with a wooden spoon or a silicone spatula just until no more streaks of dry flour are visible.
Fold the mini eggs and chocolate chips into the cookie dough, being careful not to overmix.
Wet hands with water (to prevent sticking) and press the cookie dough into the bottom of the springform pan, ensuring it reaches the edges of the pan. Bake the cookie cake for 18 to 22 minutes until slightly golden brown on top. The center may appear a bit under-baked - it will continue to set as the cookie cake cools.
While the cookie cools, beat the softened butter and powdered sugar together in a stand mixer fitted with the paddle attachment until thick and creamy. Start on low speed (3-4 on a stand mixer) and gradually increase to medium-high (6-8).
Beat in the milk, vanilla, and salt until a smooth, pipeable consistency is reached.
Transfer the frosting to a piping bag fitted with a star piping tip, I love the 1M Wilton piping tip. Pipe frosting around the edge of the completely cooled cookie cake and finish with sprinkles if desired. Slice and enjoy!