Preheat oven to 375 degrees and line 2 baking sheets with parchment paper.
In a large saucepan, bring water, butter, and salt to a rapid, rolling boil. Make sure all the butter is melted, and then add flour. Stir the mixture for 20-30 seconds, until a sticky dough ball forms and begins pulling away from the sides of the pan. Reduce heat to low-medium heat and cook, stirring, for 90 seconds. Remove from heat and set aside for 5 minutes.
Beat in eggs, one at a time, along with cheeses and seasonings. Place heaping teaspoonfuls onto prepared baking sheets 1 inch apart. Bake, rotating sheets halfway through, for 25-30 minutes. The gougeres are done when they are a deep golden brown and puffed. Serve immediately.
Makes 10 servings.
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