Sprinkle 2 tablespoons all-purpose flour into the pan and cook, stirring constantly, for 1 minute. Add the sliced carrot, 1 (14.5-ounce) can beef broth, 1 (14.5-ounce) can petite diced tomatoes and their juices, 2 tablespoons tomato paste, and 1 bay leaf. Partially cover and reduce the heat to low. Simmer, stirring occasionally, until the beef is tender, about 1 1/2 hours.