Caramel Cake

INGREDIENTS

• 1 cup (2 sticks) unsalted butter, softened, plus more for the pans
• 2 teaspoons kosher salt, plus more to taste
• 2 cups sugar
• 2 large egg yolks
• 2 teaspoons baking powder
• 4 cups sugar
• 2 1/2 cups sifted all-purpose flour, plus more for the pans
• 1 tablespoon pure vanilla extract
• 10 tablespoons (1 1/4 sticks) butter
• 1 1/2 cups whole milk
• 3/4 cup whole milk
• 1/4 teaspoon baking soda
• Hot water
• 2 teaspoons pure vanilla extract
• 2 teaspoons salt
• 3 large eggs