Soak the starch noodles in warm water for about 30 minutes while preparing the other ingredients. Drain well before using.
Clean chicken and cut into small to medium-sized pieces.
Cut the potatoes in chunks (about 1-1/2 inch), soak them in water while preparing the other vegetables. Cut the carrot (1/4-inch slices), mushrooms, and onion into bite-sized pieces.
Add the chicken pieces to a large pot. Pour 3 cups of water over the chicken. (You should reduce the amount of water if not using the noodles.) Add the sauce ingredients except sesame oil and seeds. Bring it to a boil over high heat, uncovered, and continue to boil for about 10 minutes. Skim off the foam.
Add the potatoes, carrot, mushrooms, onion, dried whole red chili peppers, garlic and ginger. Cover, and cook for 8 to 10 minutes. There may still be a lot of liquid, but the potatoes and starch noodles will soak up a lot of it.
Stir in the green chili peppers (if using), and glass noodles. Continue to cook, uncovered this time, for an additional 3-5 minutes. Stir in the sesame oil. Garnish with sesame seeds, scallions. Serve immediately.