Make the Dressing: Whisk together olive oil, red wine vinegar, lemon juice, Dijon mustard, garlic, oregano, salt, and pepper in a small bowl or jar. Adjust seasoning to taste.
Assemble the Salad: Combine chickpeas, cherry tomatoes, cucumber, bell pepper, olives, red onion, parsley, and mint in a large mixing bowl.
Add the Feta: Gently fold in the feta cheese to avoid crumbling.
Serve: Serve immediately.