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1
Stir together yeast and milk in bowl of mixer and let stand until foamy, about 5 minutes. (If mixture doesn't foam, start over with new yeast.) Mix in 3/4 cup flour. Cover bowl with plastic wrap and a kitchen towel and let dough rise in a draft-free place at warm room temperature until doubled and bubbly, about 1 hour.
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2
Mix in egg, butter, sugar, salt, and remaining 1/2 cup flour at low speed until combined. Increase speed to medium and beat dough until satiny and elastic, 5 to 7 minutes. Scrape dough into center of bowl and dust lightly with flour. Cover bowl with plastic wrap and a kitchen towel and let dough rise at warm room temperature until doubled, about 1 hour.
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3
Line a baking sheet with wax paper and lightly sprinkle with flour. Punch down dough and turn out onto a lightly floured surface. Cut into 16 equal pieces. With lightly floured hands, flatten 1 piece of dough and put a cheese cube in center. Pinch closed, then roll into a ball and transfer to baking sheet. Make 15 more balls, arranging 1 inch apart.
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4
Heat 2 inches oil in a 2-quart heavy saucepan over medium heat to 350u00b0F. Fry
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5
, 4 at a time, turning frequently, until puffed and golden, about 2 minutes per batch. Transfer with a slotted spoon to paper towels to drain. Return oil to 350u00b0F between batches. Serve hot.
