Bring a pot of water to a boil and hard boil the eggs for 8-10 minutes.
In the meantime, heat the sesame oil in a saucepan or wok and add the ginger and garlic chili sauce. Mix to combine, and add the mushrooms and spinach. Cook over high heat for 3-5 minutes.
Add the broth, noodles, and soy sauce/liquid aminos and bring to a gentle simmer until the noodles are cooked.
Serve hot, topped with boiled eggs and fresh radish slices.