Prepare a large bowl of cold water and dissolve 3 tablespoons of salt in it. Place the chicken breast in the water and soak for 20-30 minutes (if frozen, let it thaw in this water). This step is crucial for tenderizing the meat.
Remove chicken from water and pat dry. Remove any fascia. Slice the breast horizontally into two thin sheets, then slice into strips along the grain.
In a bowl, combine chicken strips with 1/4 tsp salt, white pepper, 1 tbsp light soy sauce, 1/2 tbsp sugar, and smashed garlic. Mix well and marinate for 30 minutes.
While marinating, prepare the sauce. In a bowl, mix 2 tbsp cornstarch with 10 tbsp water until dissolved. Add ketchup, 2 tbsp light soy sauce, vinegar, 6 tbsp sugar, and dark soy sauce. Whisk until combined.
Batter the chicken: Add the egg to the marinated chicken (discarding the garlic pieces if preferred). Add the 10 tbsp of cornstarch in two batches, mixing by hand until the chicken is coated in a thick, sticky batter.
First Fry: Heat oil in a wok to medium heat (approx 325°F/165°C). You should see small bubbles around a wooden chopstick. Drop chicken strips in one by one. Fry until they float to the surface. Remove immediately and set aside.
Second Fry: Increase heat to high (approx 375°F/190°C) until oil smokes slightly. Add all the chicken back in. Fry for exactly 30 seconds until the exterior is crispy. Remove and drain.
Pour the pre-mixed sauce into a clean wok or pan over low heat. Stir constantly. As it heats, it will thicken and become glossy. Once thickened, add the fried chicken and toss quickly to coat. Serve immediately.