Sprinkle beef with 1/4 teaspoon salt and black pepper. Place beef and flour in a large zip-top plastic bag; seal and shake to coat. Heat 2 teaspoons oil in a large Dutch oven over medium-high heat. Add half of beef; cook 5 minutes or until browned, stirring frequently. Repeat with 2 teaspoons oil and remaining beef. Remove from pan; set aside.
. Add remaining 2 teaspoons oil to pan. Add carrot, onion, and garlic; cook 5 minutes, stirring occasionally. Add mushrooms; cook 5 minutes, stirring occasionally. Stir in tomato paste; cook 1 minute. Add beef, remaining 1/4 teaspoon salt, bell pepper, and remaining ingredients to pan; bring to a boil. Cover, reduce heat to low, and simmer 2 hours.