Brown Butter Eggnog Cinnamon Rolls

Ingredients

• 1/2 cup (1 stick) unsalted butter
• 1/2 cup high-quality eggnog , lightly warmed
• 1/2 cup whole milk, lightly warmed
• 2 1/4 teaspoons (1 package) active-dry yeast
• 1/2 cup granulated sugar
• 2 large Pete & Gerry's eggs , room temperature
• 3 cups plus 2 tablespoons bread flour
• 1/2 teaspoon kosher salt
• 1/4 cup (1/2 stick) unsalted butter, softened to room temperature
• 1 cup packed brown sugar
• 2 tablespoons ground cinnamon
• 1/4 teaspoon kosher salt
• 1/4 cup (1/2 stick) butter, softened to room temperature
• 4 ounces full-fat cream cheese, softened to room temperature
• 1 1/2 cups powdered sugar
• 1/4 cup high-quality eggnog
• 2 teaspoons vanilla extract