Eggnog Sheet Cake

Ingredients

• ½ teaspoon baking soda
• 1 teaspoon fine sea salt
• 2 cups granulated sugar
• 1 tablespoons baking powder
• 2 large eggs plus 5 large egg yolks
• 1 teaspoon vanilla extract or vanilla bean paste
• 1 cup unsalted butter (- at room temperature, plus more for pan)
• 3¼ cups all-purpose flour (- plus more for pan)
• 1¼ cups eggnog (- at room temperature)
• 2 tablespoons coconut or vegetable oil
• 1 tablespoon vanilla extract or vanilla bean paste
• 6 ounces cream cheese (- softened)
• 4 tablespoons unsalted butter (- at room temperature)
• 1/4 cup eggnog (- at room temperature)
• 4 cups powdered sugar (- sifted)
• freshly grated nutmeg (to taste)