Grilled Chicken Cool Wrap

flaxseed flatbread (water, bread base [wheat gluten, corn starch, oat fiber, soy protein isolate, soybean oil, defatted soy flour, salt, sesame flour, whole wheat flour, calcium propionate {mold inhibitor}, potassium sorbate, mono-diglycerides, sucralose, dextrose, l-cysteine], enriched wheat flour [wheat flour, malted barley flour, niacin, reduced iron, thiamin mononitrate, riboflavin, folic acid], flax flour, contains less than 2% of: ascorbic acid, calcium propionate [mold inhibitor], canola oil, fumaric acid, l-cysteine, yeast), Chicken (boneless skinless chicken breast, water, apple cider vinegar, soybean oil, modified corn starch, salt, yeast extract, sugar, chicken breast meat, chicken broth, dehydrated onion, dehydrated garlic, sea salt, cane molasses, spices, chicken fat, natural flavor [including smoke], lemon peel, red bell pepper, paprika, lemon juice concentrate, parsley and vinegar solids, xanthan gum, and calcium disodium EDTA [to protect quality]), green leaf lettuce, green cabbage, Monterey Jack Cheddar Cheese (Monterey Jack cheese [pasteurized milk, cheese culture, salt, enzymes], Cheddar cheese [pasteurized milk, cheese culture, salt, enzymes, annatto {vegetable color}], potato starch and powdered cellulose [to prevent caking], natamycin [a natural mold inhibitor]), red leaf lettuce.