In a medium bowl, toss the thinly sliced beef with 1 tablespoon soy sauce, 1 teaspoon Shaoxing wine, 1 teaspoon cornstarch, and the sesame oil. Set aside while you prepare the sauce and vegetables.
In a small bowl, whisk together the remaining 2 tablespoons soy sauce, oyster sauce, 1 tablespoon Shaoxing wine, sugar, water or broth, and 1 teaspoon cornstarch until smooth. Keep the sauce nearby; the cornstarch settles quickly, so stir it again just before using.
Heat a large wok or 12-inch skillet over medium-high heat until hot. Add 1 tablespoon of the neutral oil, then add the beef in a single layer. Cook without moving it for about 45 seconds, then stir-fry for 1 to 2 minutes more, until mostly browned but not fully cooked through. Transfer the beef and any juices to a clean plate.
Add the remaining 1 tablespoon oil to the same wok. Add the snow peas and stir-fry for 2 minutes, until bright green and beginning to blister in spots. Add the ginger, garlic, scallions, and pepper; stir-fry for 30 seconds, just until fragrant.
Stir the sauce once more, then pour it into the wok. Cook, stirring, for 30 to 60 seconds, until the sauce bubbles and lightly thickens.
Return the beef and its juices to the wok. Toss for 1 to 2 minutes, until the beef is cooked through and everything is coated in sauce. Serve immediately with hot cooked rice, if desired.