1. Place chops in a zip-top bag. Whisk together vinegar, 2 teaspoons oil, and mint. Pour over lamb, seal bag, and rub marinade around. Chill 20 minutes.
2. In a 2-quart saucepan with a lid, bring the broth to a boil. Add bulgur, carrot, and salt, simmer 7 minutes. Remove from heat and let stand, covered, 10 minutes. Chop parsley and mix with lemon juice and remaining oil. Stir the parsley mixture into bulgur, fluff with a fork. Set aside.
3. Heat a large nonstick skillet coated with cooking spray over medium-high heat. Add lamb to pan, discarding marinade. Cook 2–3 minutes per side. Sprinkle lamb evenly with pepper.