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1
Preheat oven to 350u00b0F. Butter 12 standard size or 30 miniature muffin cups, or line cups with paper liners.
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2
Prepare coatings: In a small saucepan, melt 6 tablespoons butter over medium heat and continue to cook it, stirring frequently, until brown bits form on the bottom and it smells nutty and heavenly. Immediately remove from heat and set aside. In a small bowl, combine 2/3 cup sugar and cinnamon. Set aside as well.
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3
Prepare puffs: Whisk flour, baking powder, baking soda, salt and nutmeg together in a medium bowl and set aside. In the large bowl of an electric mixer, beat softened butter and sugar together until light and fluffy. Add egg and vanilla and beat until combined. Mix in 1/3 of flour mixture, followed by 1/2 of buttermilk, repeating again and finishing with the flour mixture. Mix only until combined.
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4
Spoon into prepared muffin cups, filling only 3/4 of the way. (I filled mine higher and they ended up spilling over a bit and doming less than they are capable of.) Bake standard sized muffins for 20 to 25 minutes and miniature muffins for 12 to 14 minutes. When finished, muffins will feel springy to the touch and a tester inserted into the center will come out clean. Transfer them in their pan to a wire rack.
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5
As soon as you feel you're able to pick one up, take your first puff and roll the top and upper edges in the browned butter. Don't be afraid to pick up the browned butter solids at the bottom of the saucepan; they're the dreamiest part. Let any excess butter drip off for a second before gently rolling the butter-soaked cake top in cinnamon-sugar. I find if you roll too firmly, or have too much wet/not absorbed butter on top, the sugar can clump off, which is heartbreaking. Transfer puff to wire rack to set and repeat with remaining puffs. Eat warm.
