Heat oil in a skillet over medium-high heat. Add turkey and cook until browned, about 4-5 minutes.
Add onion, carrot, and squash and cook until softened, about 4-5 minutes.
Add tomato paste and cook until darkened, about 1-2 minutes.
Add water, garlic, chili powder, paprika, and oregano and stir to combine. Reduce heat to medium and simmer until thickened, about 8-10 minutes. Season to taste with salt and pepper.
