Chicken Yakisoba

Name: Chicken Yakisoba
Ingredients: 3/4 cup Water; 1/4 cup Soy sauce, low-sodium; 2 Tbsp Brown sugar; 2 Tbsp Ketchup; 2 Tbsp Oyster sauce; 2 tsp Worcestershire sauce; 10 oz Broccoli florets, chopped; 5 oz Carrots, shredded (look for pre-shredded); 8 oz Mushrooms, shiitake, sliced (look for pre-sliced); 12 oz Noodles, pre-cooked Yakisoba (sub dried udon noodles or spaghetti); 1 lb Chicken breasts, boneless and skinless, chopped; 4 stalks Green onions, chopped, green and white parts separate; 1 Tbsp + 1 Tbsp Oil, cooking; 2 Tbsp Water; 2 tsp Cornstarch; for serving Hot sauce (opt)