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Preheat oven to 400ºF. Line a baking sheet with parchment paper.
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In a saucepan, combine the milk, butter, salt and pepper over medium high heat and bring to a boil.
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Remove from the heat and add flour and stir with a wooden spoon, briskly, for about 1 minute to incorporate.
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Return to medium high heat and continue stirring until smooth and batter pulls away from sides of pan, about 1 minute.
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Remove from heat and add eggs one at a time, stirring well after each addition.
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Add the cheese and beat until it is incorporated and a slightly soft dough forms.
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Drop the dough by the spoonful on the baking sheet, to form a ring (about 10-12 spoonfuls.) Or place spoonfuls of the mixture 2 inches apart for individual gougeres.
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Bake for 10 minutes, reduce heat to 350ºF, and continue to bake for 25 minutes, until golden brown and firm to the touch.
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Remove from the oven and serve warm.