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In a medium sized saucepan over medium high heat, combine water, butter, sugar, salt and vanilla. Bring to a boil.
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Add the flour and stir in until incorporated. Continue cooking and stirring the mixture until it begins coating the bottom of the saucepan in places. Remove from the heat.
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Carefully transfer the mixture into the bowl of a stand mixer fitted with a paddle attachment. Mix on a medium-low speed for a few minutes, or until the mixture has cooled slightly.
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While the mixer is running, add the eggs one at a time, letting each one incorporate into the mixture before adding the next. Once all of the eggs have been added, continue mixing until smooth and glossy and the dough starts to hold a little shape.