Trim the steak and cut them into small cubes, the size of ½ cm (⅕ "). Set them aside. You can cut the steak larger but the cooking time would be longer.
Chop the lamb fat finely and set it aside (if using).
Prepare the onion salad: finely slice the onions and mix with chopped parsley salt and sumac in a medium-sized bowl. You can also add pul biber (flaked chili). Set it aside until you are ready to build the wraps.
Slice or dice the tomatoes, and set them aside along with the onion salad.
Place your wok or large skillet on medium heat and then add the lamb fat (if using)to render it. Or add olive oil or butter to the wok and heat the pan before adding the beef.
Cook the beef until it releases its water and absorbs it back, for about 10 minutes.
Add the salt, black pepper, and paprika, and sauté the beef for another minute.
Pour in the water and cook for another 10 minutes until half of the liquid evaporates.
To build your wraps, place a piece of lavash or wheat tortilla wrap on top of the meat to absorb the gravy.
Leave the lavash for 20 seconds until it is soaked with gravy and place it on a plate, the clean side is down.
Top the lavash with chopped tomato, onion salad, and two tablespoons of beef. Tightly wrap it, securing both sides to keep the filling in.
Repeat the same with the remaining wraps and meat.
Cut them in halves and serve immediately with extra salad, tomatoes, and pickled chilies on the side.