Cook the noodles as per the package directions. Drain and set aside.

Stir gochujang paste, hoisin sauce, dark soy sauce, lime juice, sesame oil, garlic, and sugar in a small bowl to make the sauce.

Heat oil in a large skillet over high heat. Once the oil is hot, add mixed bell peppers, cabbage, and carrots and sauté for a minute on high heat.

Add the cooked noodles and the sauce mixture and toss everything well using two large spoons or a pair of tongs.

Garnish with green onions and toasted sesame seeds. Serve hot.