Chicken Noodle Soup

Name: Chicken Noodle Soup
Prep time: 15 min
Total time: 15 min
Cuisine: Asian
Ingredients: 2 tbsp. vegetable oil; 4 tsp. kosher salt, divided; 2 lb. bone-in, skin-on chicken pieces, preferably a mix of chicken thighs and breasts; 8 c. low-sodium chicken stock; 4 c. cold water; 2 sprigs fresh thyme; 1 bay leaf; 1 small yellow onion, coarsely chopped (about 1 1/4 c.); 2 stalks celery, sliced 1/8" thick (about 1 1/4 c.); 1 large carrot, halved lengthwise, sliced 1/8" thick (about 1 c.); 6 oz. wide egg noodles; 1 tsp. freshly ground black pepper; 1/4 c. finely chopped fresh parsley