Place lentils and broth in a small saucepan; bring to a boil. Reduce heat; simmer, covered, until tender, about 30 minutes., Preheat oven to 350°. Line a 9x5-in. loaf pan with parchment, letting ends extend up sides. Coat paper with cooking spray., In a large skillet, heat oil over medium heat; saute carrots, onion and mushrooms until tender, about 10 minutes. Stir in herbs. Transfer to a large bowl; cool slightly., Add cheese, rice, egg, egg white, seasonings and lentils to vegetables; mix well. Transfer to prepared loaf pan. Mix tomato paste and water; spread over loaf., Bake until a thermometer inserted into the center reads 160°, 45-50 minutes. Let stand 10 minutes before slicing.