Mix well all sauce ingredients in a bowl and refrigerate for 1 hour for the flavours to come together.
In a medium pot on high heat bring water to boil, add the salt and cook the noodles al-dente with time guidance from the package instructions. Immediately strain the noodles and rinse them under cold running water. To prevent sticking, toss them with 2 teaspoons of sesame oil. Keep aside.
Put your wok on high heat, add the seed oil and let it come to smoking heat. Add the garlic, shallots and ginger and stir-fry for a minute until fragrant.
Add 2 tablespoons of the sauce along with the carrots and stir-fry for 2 minutes aiming for the carrots to slightly soften.
Next add 4-5 tablespoons of the sauce along with the red pepper, shitake mushrooms and broccoli and stir-fry for 3 minutes aiming for the broccoli and pepper to soften a bit.
In quick movements add the noodles and cabbage to the wok along with the remaining sauce, stir well to combine well and stir-fry for 2 minutes and serve.