Braided Brioche

Name: Braided Brioche
Prep time: 1 h 30 min
Cook time: 25 min
Total time: 1 h 55 min
Cuisine: French
Ingredients: 1/3 cup warm milk (( 110 F)); 2 and 1/4 tsp active dry yeast ((1 packet)); 1 large egg; 2 cups all purpose flour; 1/3 cups sugar; 4 large eggs (lightly beaten); 1 and 1/2 c all purpose flour; 1 tsp salt; 1 and 1/2 sticks unsalted butter (at room temperature); 1 tbsp milk