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Preheat oven to 375°F (190°C). Line a baking sheet with parchment paper.
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In a small bowl, mix the brown sugar, cinnamon, and salt until evenly combined.
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Unroll the crescent dough and separate into triangles. Lightly brush each triangle with melted butter.
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Sprinkle a generous layer of the cinnamon sugar mixture evenly over each piece.
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Starting at the wide end, roll each triangle toward the pointed tip to form a crescent shape. Place on the prepared baking sheet, spacing them about 2 inches apart.
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Bake for 12–15 minutes, or until golden brown and puffed.
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While they bake, prepare the glaze by whisking together cream cheese, powdered sugar, milk, and vanilla until smooth and pourable.
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Allow crescents to cool slightly, then drizzle with glaze before serving.