Vanilla Cream-Filled Doughnuts

INGREDIENTS

• :
• 2½ teaspoons active dry yeast
• ⅔ cup whole milk, at room temperature
• 3½ cups all-purpose flour
• ⅓ cup granulated sugar
• 2 teaspoons kosher salt
• 3 eggs
• 7 tablespoons (3½ ounces) unsalted butter, at room temperature, cut into 8 pieces
• 1½ cups whole milk
• ½ cup granulated sugar
• ¼ cup cake flour
• ½ teaspoon kosher salt
• 4 egg yolks
• 1 teaspoon vanilla extract
• 6 tablespoons heavy cream
• 1 gallon canola oil
• 1 cup granulated sugar