Once brown butter has cooled, finish the muffins. Whisk together the flour, baking powder, cinnamon, and salt in a medium bowl. Combine the sugar, eggs, egg yolk, and cooled brown butter in a large bowl and beat on low speed with an electric mixer until combined. Melt the remaining 2 tablespoons butter and beat into the mixture. Beat in the milk and vanilla. Add the flour mixture, then beat on low speed until flour is fully incorporated. Gently fold in the blueberries.