Bring a pot of water to a boil and cook the noodles according to the package instructions until tender, about 5 minutes. Drain, then rinse the noodles under cold water to prevent them from cooking further, until they are cold to the touch. Set aside to drain well.
In a small bowl, combine the brown sugar, light soy sauce, dark soy sauce, Shaoxing wine, garlic, sesame oil, ginger, shallot, chopped scallion, and chile. Stir well.
Heat the vegetable oil in a frying pan over medium heat and add the onion. Cook until translucent, then add the carrot, and bell pepper. Cook for 3 or 4 minutes, then pour in the sauce, most of the scallions, and noodles; mix well to incorporate. Sauté for 1 minute, until the noodles are heated through.
Remove from the heat and transfer to a serving bowl. Place the scallion strips on top. Serve warm with lime wedges.