To marinate the beef, in a small bowl, mix the cornstarch and water to form a slurry. In a separate bowl, add the beef and sprinkle in the salt, then mix well. Add the egg white, the cornstarch slurry, rice wine, soy sauce, and white pepper, then mix until the liquid is fully absorbed. Let the beef marinate while preparing the other ingredients.
To make the sauce, in a bowl, whisk together the soy sauce, dark soy sauce, oyster sauce, hoisin sauce, sesame oil, white pepper, and chicken stock. In a separate small bowl, mix the cornstarch with the water to form a slurry, then set aside.
To blanch the broccoli, in a pot over high heat, bring water to a boil. Add the broccoli and blanch for about 30 seconds, then drain well.
To stir-fry the beef, in a wok over high heat, add 1 tablespoon of the cooking oil and heat until shimmering. Add the beef and stir-fry for about 2 minutes until just cooked. Remove the beef.
To finish the dish, in the same wok over high heat, add another 1 tablespoon of the cooking oil. Add the scallions and stir-fry until fragrant. Pour in the sauce and bring to a simmer. Stir in the cornstarch slurry and let the sauce thicken slightly. Return the beef and broccoli to the wok and toss until evenly coated and heated through. Serve hot.