Folded Crispy Cuban Chicken Wraps

Name: Folded Crispy Cuban Chicken Wraps
Prep time: 30 min
Cook time: 15 min
Total time: 45 min
Cuisine: Latin American, American, Cuban
Ingredients: 2 tablespoons extra virgin olive oil; 1 yellow onion chopped; 1 pound boneless skinless chicken breasts, cubed; 2 cloves garlic, chopped; 2 teaspoons dried oregano; 1 teaspoon ground cumin; 1/2 teaspoon cayenne pepper, using more or less to taste; Kosher salt and black pepper; 4 large (burrito size) whole wheat, or gluten-free, tortillas; 2 cups shredded romaine lettuce; 1/2 cup chopped pickles; 1/2 cup chopped cilantro; 4 tablespoons mustard; 4 very thin slices deli ham; 1/2 cup shredded swiss cheese; 1/2 cup shredded pepper jack cheese; 1 avocado, halved; 1 cup fresh cilantro; 1/4- 1/2 cup pickled jalapeños, use to your taste; 2 tablespoons lime juice; 1 teaspoon cumin; 1 teaspoon onion powder; 1 teaspoon garlic powder; 1/3 cup mayo