Buttery Herbed Dinner Rolls

Name: Buttery Herbed Dinner Rolls
Ingredients: 1 cup milk, warmed to about 110 degrees F; 1 tablespoon active dry yeast; 5 tablespoons unsalted butter, melted and cooled slightly, plus more for the bowl and pan; 1 tablespoon sugar; 1 1/2 teaspoons coarse salt; 1 large egg, lightly beaten; 3 cups all-purpose flour; 2 tablespoons finely chopped fresh parsley; 2 teaspoons finely chopped fresh thyme; 1 teaspoon finely chopped fresh rosemary; 4 tablespoons unsalted butter, melted; Flaky sea salt, for sprinkling