Persian Buns Recipe

Name: Persian Buns Recipe
Ingredients: For the Buns:; 1/4 cup warm water (at 105 to 115°F); 1 tablespoon instant yeast; 1 1/2 cups whole milk, lukewarm; 1/2 cup plus 1 tablespoon sugar; 1/2 teaspoon salt; 2 teaspoons cinnamon; 1 tablespoon vanilla extract; 2 large eggs, lightly beaten; 5 1/3 tablespoons unsalted butter, melted and cooled; 5 cups all-purpose flour; 2 quart vegetable oil for frying; Cooking spray; For the Filling:; 1/2 cup dark brown sugar; 1 1/2 tablespoons cinnamon; For the Chocolate Frosting:; 2 tablespoons unsalted butter; 3/4 cup confectioner's sugar; 6 ounces 72% cacao chocolate, melted in a double boiler or microwave-safe bowl