01 - Combine soy sauce, fish sauce, oyster sauce, brown sugar, grated ginger, and lime juice in a small bowl. Mix well and set aside.
02 - Heat vegetable oil in a large skillet or wok over medium-high heat. Add garlic and onion, sautéing until fragrant and translucent, about 2 minutes.
03 - Add ground chicken to the skillet, breaking it up with a spatula. Cook until fully browned and cooked through, approximately 5 minutes.
04 - Stir in bell pepper, carrot, green onions, and chili if using. Cook for another 3-4 minutes until vegetables are tender-crisp.
05 - Pour the prepared sauce over the chicken mixture. Toss to combine and cook for another 2 minutes to allow flavors to meld.
06 - Remove from heat. Spoon the chicken mixture into lettuce leaves. Garnish with cilantro, mint, chopped peanuts, and lime wedges as desired.
07 - Serve immediately, allowing guests to assemble their own wraps.