Heat ¼ cup oil in a wok over low heat. Add the cinnamon stick, star anise, and bay leaves. Infuse the oil for 2 minutes, or until you can smell the aroma of the spices. Take care not to burn them.
Add the ginger and pork. Cook over medium heat until the pork turns opaque. Follow with the salt and chili flakes. Keep cooking for 5 more minutes, stirring occasionally.
Add the Shaoxing wine, five spice powder, light soy sauce, ⅓ to ½ cup black vinegar (more or less depending on your taste preferences) and sugar. Stir well. Reduce the heat slightly, and cook for 5-6 minutes, until the sauce reduces. Remove from the heat. Discard the cinnamon, star anise, and bay leaves.
Prepare the egg omelette:
Heat a 10-inch nonstick pan over medium heat. In a small bowl, mix together ½ teaspoon cornstarch with 2 teaspoons water until combined. Crack 1 egg into the bowl, and beat everything together until well-combined.
When the pan is hot, spread 1 tablespoon oil evenly around the pan to coat. Pour in the egg and immediately swirl it around to completely cover the pan. Cook until the egg is just set. Flip it, and cook it for another 10-20 seconds. Transfer to a cutting board. Cut into 1-inch pieces.
Make the soup base and assemble:
Bring a large pot of water to a boil to cook the noodles. Keep the boiling water covered and at a low simmer while you make the soup base.
In a wok, heat 2 tablespoons oil over medium heat. Add the ginger, and fry for 30 seconds. Add the carrot and potato, and cook for 5 minutes, stirring periodically. They will take the longest to cook.
Add the wood ears, rehydrated lily flowers, and oyster sauce. Cook for 3 minutes.
Add the chicken stock, soy puffs, and the meat sauce you made earlier. Bring everything to a boil. Add salt (and/or more vinegar) to taste. Once the soup base boils, reduce the heat to low, cover, and simmer for 10 minutes (cooking any longer will not yield better results).
As the soup simmers, cook the noodles according to package instructions. Noodles are always best a little chewy or al dente. The key is timing the noodles alongside the soup base.
Once the noodles are cooked, drain, and divide into individual serving bowls. Ladle over the soup base. Top with the egg slices, diced garlic chives, a pinch of scallions, and chili oil if desired. Serve immediately!