Red Velvet Cream Cheese Bundt Cake

Name: Red Velvet Cream Cheese Bundt Cake
Prep time: 25 min
Cook time: 1 h 5 min
Total time: 1 h 30 min
Cuisine: European, American
Ingredients: 1 (8 oz) package cream cheese, softened; 4 tablespoons butter, softened; 1/2 cup [brand:name] Extra Fine Granulated Sugar; 1 large egg; 2 tablespoons all-purpose flour; 1 teaspoon vanilla extract; 2 1/3 cups all-purpose flour*; 1 3/4 cups [brand:name] Extra Fine Granulated Sugar; 3 tablespoons cocoa powder; 1 teaspoon baking soda; 1 teaspoon salt; 1 1/4 cups vegetable oil; 2 large eggs; 1/2 cup sour cream; 1/2 cup whole milk; 1 tablespoon vanilla extract; 1 tablespoon white vinegar; Red gel food coloring, as needed; 2 cups [brand:name] Confectioners Powdered Sugar; 4 oz cream cheese, softened; 3/4 cup heavy cream