Cast Iron Herb and Cheese Rolls

Ingredients

• ½ cup warm whole milk (105° to 110°)
• ½ cup warm water (105° to 110°)
• 2 tablespoons sugar
• 2 ¼ teaspoons active dry yeast
• 3 cups all-purpose flour
• 1 ½ teaspoons kosher salt
• 6 tablespoons unsalted butter, melted and divided
• 1 large egg yolk
• Cheese and Herb Filling (recipe follows)
• ½ cup fresh mozzarella cheese, cut into ½-inch pieces
• 1 teaspoon chopped fresh oregano
• 1 teaspoon chopped fresh thyme
• 1 teaspoon chopped fresh basil
• 1 tablespoon olive oil
• 1 tablespoon minced garlic
• 1 cup unsalted butter, softened
• 1 cup shredded mozzarella cheese
• ¾ cup grated Parmesan cheese
• 3 tablespoons chopped fresh oregano
• 3 tablespoons chopped fresh basil
• 1 tablespoon chopped fresh thyme
• ¾ teaspoon kosher salt
• ¾ teaspoon ground black pepper