Overnight Milk Bread Cinnamon Rolls

Name: Overnight Milk Bread Cinnamon Rolls
Ingredients: 1/3 cup ( 43 g ) bread flour; 1/2 cup water; 1/2 cup whole milk; 2/3 cup cold whole milk; 1/2 cup ( 1 stick ) unsalted butter , melted; 1/3 cup ( 66 g ) granulated sugar; 1 1/2 teaspoons salt; 2 cold large eggs; 4 cups ( 480 g ) bread flour; 4 1/2 teaspoons ( 14 g ) instant yeast; 1/4 cup powdered milk; 1/2 teaspoon nutmeg; 2 teaspoons olive oil (for the rising bowl); 4 tablespoons unsalted butter , softened; 3/4 cup dark brown sugar; 1 1/2 tablespoons cinnamon; Pinch salt; 1 teaspoon vanilla; 4 ounces cream cheese , softened; 3 tablespoons unsalted butter , softened; 2 cups confectioners' sugar; 1/8 teaspoon salt; 2 teaspoons vanilla extract