In a small pot, cover eggs with 2" water. Bring to a simmer, then cover pot and remove from heat. Let sit 8 minutes. Drain eggs and immediately transfer to a bowl of ice water. Let cool until cold to the touch, about 3 minutes. Peel and halve lengthwise; set aside.
In a medium bowl, toss cucumbers, bell pepper, tomatoes, olives, oil, capers, lemon juice, and za’atar (if using); season with salt and pepper. Stir in mint.
Divide cottage cheese among bowls. Top with tomato salad and reserved eggs. Sprinkle with more za’atar (if using). Serve with pita chips alongside.
