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Cook pork according to our
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While pork cooks, bring a large pot of salted water to a rolling boil. Add broccoli rabe and cook, stirring occasionally, until bright green but still crunchy, about 2 minutes. Remove broccoli rabe and run under cool water to chill. Spin in a salad spinner to dry. Set aside.
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Heat olive oil in a large saucepan over medium heat until shimmering. Add garlic, anchovies, and red pepper flakes and cook, stirring, until fragrant, about 1 minute. Add broccoli rabe and stir to coat with oil. Continue cooking until broccoli rabe is fully tender, about 2 minutes. Transfer to a large bowl and set aside or refrigerate until ready to construct sandwiches.
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When pork is cooked, remove skin (if present) and chop into fine pieces. Shred meat from bones and discard bones. Combine meat and skin in a large bowl, add vinegar, and season with salt, pepper, and red pepper flakes to taste, gently shredding meat with your fingers.
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To serve: Preheat broiler to high. Place a dozen toasted bun bottoms on a rimmed baking sheet. Top with pulled pork, broccoli rabe, and a slice of cheese. Broil until cheese is melted, about 1 1/2 minutes. Top with pickled pepper slices and top buns and serve immediately. Repeat with remaining buns and fillings.