Place the pork slices in a large bowl. Add Thai Chili Sauce and soy sauce, toss to coat. Cover with plastic wrap and marinate for 2-24 hours in the refrigerator.
Preheat the air fryer to 400°F. Working in batches, arrange a single layer of pork in the air fryer, discarding excess marinade. Cook for about 10 minutes, flipping halfway until browned. To serve, divide brown rice among the 12 lettuce leaves. Top with pork, cucumber, carrots, sesame seeds, scallions, and Thai Chili Sauce.