Funfetti Brownie Layer Cake

box (approximately 18 ounces) brownie mix, plus ingredients to make the brownies

box (approximately 15 ounces) yellow cake mix

milk

vegetable oil

large eggs

cream cheese, room temperature

unsalted butter, softened

powdered sugar

vanilla extract

, plus more for topping

chocolate chips (semi-sweet or milk)

unsalted butter, cubed

light corn syrup

water

Sprinkles, for topping