01 - Combine sliced beef with 1 tbsp soy sauce, cornstarch, and 1 tsp sesame oil in a bowl. Toss to coat evenly and let marinate while preparing remaining ingredients.
02 - Cook noodles according to package directions until tender. Drain thoroughly, rinse under cold water to stop cooking and prevent sticking, then set aside.
03 - Whisk together 4 tbsp soy sauce, brown sugar, gochujang, mirin, 2 tsp sesame oil, garlic, ginger, and water in a small bowl until sugar dissolves and mixture is smooth.
04 - Heat 1 tbsp vegetable oil in a large skillet or wok over medium-high heat. Add marinated beef and stir-fry for 2-3 minutes until just cooked through. Transfer to a plate and reserve.
05 - Add remaining 1 tbsp oil to the skillet. Stir-fry carrots, bell pepper, and mushrooms for 3-4 minutes until vegetables are just tender-crisp.
06 - Return beef to the pan. Add noodles, spinach, and sauce mixture. Toss everything together for 2-3 minutes until heated through and spinach is wilted. Adjust seasoning if needed.
07 - Divide among bowls and serve hot, garnished with toasted sesame seeds and additional sliced scallions.