Bring a large pot of water up to a rolling boil. Add a generous pinch of salt, followed by the noodles, and cook according to package instructions. Drain.
Heat 1 to 2 tablespoons of neutral oil in a large skillet over medium-high heat. One at a time, carefully crack each egg into the hot oil. Cook, using a spoon to baste the hot oil over each egg, until the yolk reaches your desired level of doneness. Transfer the eggs to a plate and set aside.
In the now-empty skillet, add the Sesame Sauce and cook for 1 to 2 minutes until thickened. Add the cooked noodles, cabbage, carrots, and scallions. Use tongs to toss to combine.
Divide among bowls and top each bowl with a fried egg. Garnish with more scallions, sesame seeds, and a drizzle of chili crisp.
