Ginger miso dressing made earlier in the week creates a rich flavor base for ramen soup. To make this soup truly authentic, top it with soft boiled eggs and eat it with a deep spoon and chopsticks!
Bring a small saucepan of water to a low boil. Add eggs to boiling water and boil for exactly 7 minutes (this will yield cooked whites and runny yolks, so boil a minute less or more if you like your eggs cooked differently). Transfer eggs to a colander and run under cool tap water. Set aside until cool enough to peel.
Meanwhile, heat a wok over medium-high heat. Add first part of oil. When oil begins to shimmer, add chicken and saute until cooked through, ~5 minutes. Transfer to a plate and return wok to heat.
To the hot wok, add oil and then white parts of green onions and bok choy stems. Saute until softened slightly, ~2 minutes. Add garlic and mushrooms and saute until fragrant, ~2 minutes. Add ginger miso dressing, stock and tamari. Cover and bring to a boil. Add bok choy leaves and reduce heat to a low simmer. Simmer for 10 minutes to allow flavors to develop. Add chicken and noodles to soup and simmer just until chicken is heated through.
Peel eggs (hold the eggs under cool running water to help remove the peel if needed) and slice in half. Season yolks with a pinch of salt.
Ladle soup into bowls and top with green parts of green onions and eggs. Squeeze lime wedges over soup just before serving. Enjoy!