Carrot Cake Baked Oatmeal

Name: Carrot Cake Baked Oatmeal
Ingredients: 6 ounces cream cheese, at room temperature; 2 tablespoons granulated sugar; 1 teaspoon pure vanilla extract; 2 1/2 cups old fashioned oats; 3/4 cup coarsely chopped pecans; 2 large carrots, grated on the coarse holes of a box grater (1 1/2 cups); 3/4 cup golden raisins; 1 1/2 teaspoons baking powder; 1 teaspoon ground cinnamon; 1/2 teaspoon ground ginger; 1/2 teaspoon kosher salt; 1/4 teaspoon freshly grated nutmeg; 1/2 cup plus 2 tablespoons packed dark brown sugar; 2 cups whole milk; 2 large eggs; 4 tablespoons unsalted butter, melted and cooled