Meanwhile, in large bowl, combine dry glaze with soy sauce and oil. Add chicken; stir to evenly coat.
Grill for 8 min per side, or until chicken is cooked through.
Meanwhile, in small bowl, stir aioli mix with mayonnaise and lemon juice.
Remove chicken from grill; slice into bite-size pieces. Spoon into lettuce leaves (estimate 2 leaves per boat). Top with aioli; add additional toppings, if desired.