I do not like wraps. It’s just stuff in a cold tortilla. Like getting a burrito in Tennessee or another place that doesn’t have good burritos.
The solution is to steam the tortilla first, solving the dry and flaking tortilla problem.
Either run water over each side and mocrowave on a plate for 30ish seconds or wet a paper towel, lay it over the tortilla on a plate and microwave for about 40 seconds. Either way the tortilla becomes soft and slightly moist so that when the toppings are added it can be folded without breaking and will stick to itself and it will cool off quickly.