Coconut Layer Cake

Ingredients

• Floured baking spray
• 1 1/3 c unsalted butter, at room temperature
• 2 2/3 c granulated sugar
• 5 extra-large eggs, at room temperature
• 4 c cake flour
• 4 tsp. baking powder
• ¾ teaspoon salt
• 1 1/3 c whole milk, at room temperature
• ½ teaspoon pure vanilla extract
• 1 tsp. coconut extract
• 2/3 c coconut milk
• 1 stick unsalted butter, at room temperature
• 16 oz cream cheese, at room temperature
• 2 tsp. coconut extract
• 1 tsp. pure vanilla extract
• 2 lb confectioners’ sugar
• 2 ¼ cups sweetened coconut flakes