INGREDIENTS
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Cake
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1 cup (2 sticks) unsalted butter, softened, plus more for the pans
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2 ½ cups sifted all-purpose flour, plus more for the pans
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2 teaspoons baking powder
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2 teaspoons salt
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¼ teaspoon baking soda
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2 cups sugar
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3 large eggs
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2 large egg yolks
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2 teaspoons pure vanilla extract
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¾ cup whole milk
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Icing
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1 ½ cups whole milk
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4 cups sugar
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10 tablespoons (1 ¼ sticks) butter
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2 teaspoons kosher salt, plus more to taste
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¼ teaspoon baking soda
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1 tablespoon pure vanilla extract
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Hot water