Cookie Butter Brioche Star

Ingredients (9 items)

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• 3 ⅓ cups bread flour
• ⅓ cup white sugar
• 2 teaspoons active dry yeast
• 1 pinch salt
• ¾ cup milk, warmed
• 2 eggs, separated
• 2 tablespoons unsalted butter, melted
• 1 teaspoon vegetable oil, or as needed
• 1 cup cookie butter (such as Biscoff®), divided