brioche recipe

Ingredients: 4 cups all-purpose flour 1/4 cup granulated sugar 1 teaspoon salt 1 packet (2 1/4 teaspoons) active dry yeast 1/2 cup warm milk (110°F or 45°C) 5 large eggs, at room temperature 1 cup unsalted butter, softened and cut into small pieces 1 egg (for egg wash) 1 tablespoon water (for egg wash)