Ingredients

• 3 tablespoons olive oil, divided

• 2 medium banana peppers or other mild, tangy peppers (such as Hungarian wax), seeded and thinly sliced, divided

• 4 ounces feta cheese, crumbled (about 2/3 cup)

• 3 teaspoons fresh lemon juice, divided

• 1/2 teaspoon kosher salt, plus more to taste

• 1/4 teaspoon black pepper, plus more to taste

• 1 ounce pita bread

• 1 (6-ounce) boneless, skinless chicken breast

• 4 grape tomatoes, halved

• 1 small Persian cucumber, halved lengthwise and cut crosswise into 1/4-inch-thick slices

• 1 tablespoon finely chopped red onion, rinsed

• 5 pitted Kalamata olives, halved

• 2 teaspoons torn fresh mint or parsley