Whisk together vinegar, 2 teaspoons oil, and mint.
Pour over lamb, seal bag, and rub marinade around. Chill 20 minutes.
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.
Heat a large nonstick skillet coated with cooking spray over medium-high heat.
Add lamb to pan, discarding marinade. Cook 23 minutes per side.