Stage 1: Aromatic Vinaigrette Emulsification : In the small bowl or jar, combine the minced garlic, lemon juice, lemon zest, red wine vinegar, dried oregano, and black pepper. Whisk vigorously while slowly drizzling in the extra-virgin olive oil until the vinaigrette is well-combined and slightly thickened. Set aside.
Stage 2: Salad Component Integration : In the large mixing bowl, add the rinsed chickpeas, diced cucumber, halved tomatoes, diced bell pepper, sliced red onion, and sliced olives. Pour the prepared vinaigrette over the vegetables and toss gently until every component is lightly coated.
Stage 3: Marination & Flavor Infusion : Gently fold the crumbled reduced-fat feta into the salad mixture. Set the bowl aside to marinate for at least 10 minutes, allowing the flavors to meld while you prepare the wraps.
Stage 4: Fortified Wrap Batter Creation : In a separate medium bowl, whisk the egg whites until they are frothy and uniform, about 30 seconds. Add the whole wheat flour, ground flaxseed, za'atar, and fresh parsley. Continue to whisk until no lumps remain and the batter is smooth.
Stage 5: Skillet-Forging the Wraps : Place the 10-inch nonstick skillet over medium-low heat. Once warm, pour one-quarter of the egg batter (about ½ cup) into the center of the pan, swirling gently to form an even, thin crepe-like circle. Cook for 2-3 minutes, until the edges are set and the top is mostly opaque.
Stage 6: Final Cooking & Assembly : Cover the skillet with the lid and cook for another 1-2 minutes, until the omelet is completely set. Carefully slide the finished wrap onto a plate using the flexible spatula. Repeat with the remaining batter to create four wraps. To serve, spoon one-quarter of the marinated chickpea filling into the center of each wrap, fold the sides over, and enjoy immediately.