Vanilla Bean Cake Recipe

Name: Vanilla Bean Cake Recipe
Cuisine: American
Ingredients: 2 Sticks (226 g) unsalted butter, slightly softened; 2 cups (400 g) sugar; 3 large eggs, room temperature (you can add to warm water to bring to room temp); 1 cup (242 g) sour cream (we use full fat); 1/3 cup (81g) milk (we use whole milk); 1 Tablespoon plus 2 teaspoons Vanilla Bean Paste (you can substitute vanilla extract if you like); 3 cups (342 g) cake flour (plain in the UK) *See substitution below; 3 teaspoons (12g) baking powder; 1/2 teaspoon (4g) salt; 3 sticks (354g) unsalted butter; 9 cups (1035g) powdered sugar; 3 teaspoons (12 g) vanilla bean paste (adjust amount to your liking); 1/2 to 1 teaspoon salt (optional to cut sweetness); 1/4 cup (60g) milk (adjust based on desired consistency)