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1. For Pastry: Process flour, salt, and sugar together in food processor until combined, about 3 seconds. Add butter and pulse until butter is size of large peas, about ten 1-second pulses.
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2. Using fork, mix sour cream and 1/3 cup ice water in small bowl until combined. Add half of sour cream mixture to flour mixture; pulse for three 1-second pulses. Repeat with remaining sour cream mixture. Pinch dough with fingers; if dough is floury, dry, and does not hold together, add 1 to 2 tablespoons ice water and process until dough forms large clumps and no dry flour remains, three to five 1-second pulses.
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3. Turn dough out onto work surface. Divide dough into 2 balls and flatten each into 4-inch disk; wrap each disk in plastic and refrigerate until firm but not hard, 1 to 2 hours, before rolling. (Dough can be refrigerated for up to 24 hours. Let thoroughly chilled dough stand at room temperature for 15 minutes before rolling.)
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4. For Pie: Mix 1/2 cup granulated sugar, brown sugar, salt, zest, and cinnamon in large bowl; add apples and toss to combine. Transfer apples to Dutch oven (do not wash bowl) and cook, covered, over medium heat, stirring frequently, until apples are tender when poked with fork but still hold their shape, 15 to 20 minutes. (Apples and juices should gently simmer during cooking.) Transfer apples and juices to rimmed baking sheet and cool to room temperature, about 30 minutes. While apples cool, adjust oven rack to lowest position, place empty rimmed baking sheet on rack, and heat oven to 425 degrees.
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5. Remove 1 disk of dough from refrigerator and roll out between 2 large sheets of parchment paper or plastic wrap to 12-inch circle, about 1/8 inch thick. (If dough becomes soft and/or sticky, return to refrigerator until firm.) Remove parchment from one side of dough and flip onto 9-inch pie plate; peel off second layer of parchment.
