Chocolate Cinnamon Roll Wool Bread

Name: Chocolate Cinnamon Roll Wool Bread
Ingredients: One 1/4-ounce packet active dry yeast (2 1/4 teaspoons); 2 tablespoons plus 1/4 teaspoon granulated sugar; 2 2/3 cups bread flour; 1/3 cup nonfat milk powder, sifted if needed; 1 teaspoon kosher salt; 4 tablespoons unsalted butter, melted, plus more for greasing the bowls; 2 large egg yolks; 2 tablespoons unsweetened cocoa powder; 2 tablespoons granulated sugar; 2 tablespoons packed light brown sugar; 2 teaspoons ground cinnamon; 1 teaspoon bread flour, plus more for dusting; 3 tablespoons unsalted butter, softened, plus more for the springform pan; 1 large egg, beaten; 2 ounces cream cheese, softened; 4 tablespoons unsalted butter, softened; 1 1/2 cups confectioners' sugar; 1/2 teaspoon pure vanilla extract