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Preheat oven to 450F. Line a large baking sheet with parchment paper.
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Whisk together Biscuick, Italian seasoning, and salt, removing any large lumps. Add milk, and stir to combine.
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Generously dust work surface with baking mix. Turn out dough, and knead about 15 times. Shape into a ball, then roll into a 1/4" thick rectangle.
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Use a pizza cutter to cut the dough into 8 strips. Place a string cheese in the center of each piece of dough, and fold the dough around the cheese. Stretch the dough as needed to entirely cover the cheese, and seal edges.
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Place stuffed breadsticks on the prepared baking sheet. Brush with melted butter.
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Bake in preheated oven for 12-15 minutes, until brown.
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Serve warm!