4 flatbreads or pitas (10.5 to 12 oz. pkg.)
1 Tbsp. extra-virgin olive oil
3 Tbsp. fresh lemon juice, divided
1 1/2 tsp. dried oregano
1/4 tsp. kosher salt, divided
1/4 tsp. freshly ground black pepper
3 cups skinned and roughly shredded cold rotisserie chicken
2 tsp. white wine vinegar
1 tsp. finely shredded fresh mint
3/4 tsp. honey
1 pint grape tomatoes, halved lengthwise
1/2 small red onion, thinly sliced
1 pickling cucumber, peeled, quartered lengthwise, then sliced widthwise
2 Tbsp. pitted kalamata olives, halved
1 (6 oz .) container fat-free greek yogurt, stirred smooth