Combine orange juice, lime juice, and garlic in a small bowl. Reserve 2 tablespoons juice mixture in a medium bowl; set aside. Add cumin, salt, and pepper to remaining juice mixture. Place steak in a shallow dish; brush evenly with spice mixture. Cover and chill 20 minutes.
Combine reserved 2 tablespoons juice mixture, orange, mint, hot pepper sauce, and olives in a bowl; toss gently.
Place steak on a broiler pan coated with cooking spray; brush remaining marinade over steak. Broil 6 minutes on each side or until desired degree of doneness. Let stand 5 minutes. Cut into thin slices. Serve with orange mixture.
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