Nashville-inspired Hot Chicken Wrap

fully cooked chicken breast with rib meat (boneless skinless chicken breast with rib meat, water, contains 2% or less of vinegar, seasoning [salt, maltodextrin, spices, onion powder, garlic powder, paprika, parsley, extractives of paprika, flavoring, isolated soy protein product isolated soy protein, modified food starch, corn starch, carrageenan with less than 2% soy lecithin, chicken broth, lavash bread (enriched wheat flour (wheat flour, malted barley flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid, water, sugar, 2% or less of: wheat gluten, natural mold inhibitor (cultured wheat flour, vinegari, salt, canola oil, sunflower oil, cellulose gum, yeast, buttermilk ranch dressing (canola oil, buttermilk (cultured pasteurized skim milk and milk, sodium citrate and salt water, sugar, distilled vinegar, contains less than 2% of salt, cider vinegar, dehydrated garlic, xanthan gum, sodium benzoate and potassium sorbate, dehydrated onion, natural flavor [includes milki, spices, phosphoric acid, guar gum, mild white cheddar cheese (pasteurized milk, cheese culture, salt, nashville hot chicken sauce (water, cane sugar, distilled vinegar, salt, garlic, spices, canola or soybean oil, molasses, corn starch, sea salt, garlic, lemon juice concentrate, paprika, onion, natural flavor, xanthan gum, green leaf lettuce, green cabbage, carrot, red cabbage, red onion, nashville hot style topical seasoning (salt, chili pepper, brown sugar, chipotle pepper powder, dehydrated garlic, sugar, dehydrated onion, honey powder [cane sugar, honey, rice starch, anti-caking agents [silicon dioxide, calcium silicate, soybean oil, lactic acid, safflower oil, canola oil, extractive of paprika [color, citric acid, sunflower oil, rendered chicken fat