In a 10- to 12-inch nonstick frying pan over high heat, stir turkey, garlic, oil, bell pepper, and onion, breaking meat apart with a spoon, until juices evaporate and turkey is lightly browned, about 15 minutes.
Add 1/2 cup tomato salsa, the chopped tomato, green chilies, cilantro, olives, chili powder, ground cumin, and pepper. Stir often until the flavors are blended, about 10 minutes. Pour mixture into a bowl.
Meanwhile, stack flour tortillas and seal in foil. Bake in a 350° oven until hot in center (open packet to check), about 10 minutes. Put remaining tomato salsa, cheese, and lettuce in separate bowls.
To assemble each burrito, spoon 1/6 of the turkey mixture down the center of each tortilla, leaving about 2 inches bare at 1 end. Top equally with salsa, cheese, lettuce, and salt to taste. Fold bottom, then sides of tortilla over filling to enclose. Hold to eat.