Preheat oven to 400*F. In a large, oven-safe skillet (12"), add the olive oil and heat over medium. Once hot, add the onions and stir until soft, about 3-4 minutes. Saute garlic and tomato paste until fragrant, about 1 minute.
Add ground beef (or lamb) to skillet. Season with salt, pepper and dried thyme. Using a spatula or wooden spoon, break up the meat. Cook, stirring occasionally, until the meat is browned and cooked through, about 8-10 minutes. Add worcestershire sauce (or coconut aminos), and stir to combine. Sprinkle in flour then stir to combine and cook for 1 minute.
Gradually pour in beef broth, stirring skillet constantly to avoid clumps. Allow to simmer about 3-4 minutes, until filling has thickened up. Remove from heat and stir in frozen bag of peas and carrots; mix well to combine. I like to taste a small teaspoon of the mixture here, and adjust to taste with an extra pinch of salt and/or pepper, if I need it.