In a medium pot, combine stock, garlic cloves, ginger slices (if using), soy sauce, cooking wine and sugar. Bring to a gentle boil.
While broth heats, slice vegetables: separate and slice stems and leaves of Chinese broccoli (or bok choy); peel and slice carrot; trim mushrooms.
Once broth boils, reduce to simmer. Add carrot slices and broccoli stems. Simmer 2–3 minutes until stems begin to soften.
Add mushrooms and leafy greens (bok choy leaves or broccoli leaves). Simmer another 1–2 minutes until greens are just wilted and mushrooms tender.
Turn off heat. Drizzle sesame oil if using, stir gently. Remove garlic and ginger slices (if you prefer).
Ladle soup into bowls, garnish with fresh coriander or green onion, sprinkle optional crispy shallots, and top with chili sauce or chili crisp if you like a kick. Serve hot.