Start with chopping the vegetables. Mash avocado in a small bowl, add salt and pepper to taste, and add a teaspoon of lime juice.
Preheat a pan and add chopped mushrooms. Let them brown. Add salt and pepper to taste and set aside. Scramble one egg with 3 ounces of liquid egg whites, add salt and pepper. Add the eggs into a preheated pan to form an omelette. Once the omelette starts setting, flip it on the other side and cook it for few seconds to set completely. Remove from the pan and cut up in triangles.
Now, we are ready to assemble the tortillas. Lay one tortilla on a cutting board and make one cut towards the center. Spread mashed avocado on 1/4 of the tortilla, add tomatoes and onions. Put 1/4 of the omelette on one quarter of tortilla and another 1/4 on the opposite quarter. Add ham on the remaining quarter of the tortilla and cheese on one of the omelette side. Start folding to create one stacked triangle.
Follow the same steps for the mushroom tortilla using mushroom instead of ham.
Place the tortillas on a heated pan and cook them until they lightly brown and cheese starts melting.