Matt And Ted Lees Caramel Cake Recipe

Name: Matt And Ted Lee's Caramel Cake Recipe
Ingredients: 1 cup (2 sticks) unsalted butter, softened, plus more for the pans; 2 1/2 cups sifted all-purpose flour, plus more for the pans; 2 teaspoons baking powder; 2 teaspoons salt; 1/4 teaspoon baking soda; 2 cups sugar; 3 large eggs; 2 large egg yolks; 2 teaspoons pure vanilla extract; 3/4 cup whole milk; 1 1/2 cups whole milk; 4 cups sugar; 10 tablespoons (1 1/4 sticks) butter; 2 teaspoons kosher salt, plus more to taste; 1 tablespoon pure vanilla extract; hot water