Marinate the chicken: In a large bowl, whisk the egg whites to soft peaks. Whisk in the soy sauce, wine and cornstarch, and then toss the chicken wings in the marinade. Cover and refrigerate overnight.
The next day, make the sauce: In a 3-quart saucepan, heat the oil over medium heat. Add the garlic and ginger, and cook until fragrant and beginning to caramelize, 4 to 5 minutes. Stir in the sugar, soy sauce, vinegar, chicken stock and bean sauce.
Bring to a simmer, then add the chile oil, dried chiles and scallions. Once simmering, transfer 3 tablespoons of the liquid to a small bowl. Stir in the cornstarch until smooth, then stir that into the simmering pot. Cook until thickened, 1 to 2 minutes, then remove from the heat. Keep warm until ready to toss.
Fry the wings: In a 6-quart Dutch oven, heat 2 inches of vegetable oil to 300° and line a plate with paper towels. Drain the wings and transfer to a large bowl with the cornstarch. Toss to coat completely. Working in 2 batches, fry the wings until crispy and cooked through, 6 to 8 minutes, letting the oil return to temperature between batches.
Transfer the wings to the prepared plate to drain, then toss them in the General Tso's sauce to coat. Place the wings on a platter, garnish with sesame seeds and scallions, and serve.