Put the pot on the stove and turn the heat to medium-low. When the pot is hot, add the oil.
Add the onion, peppers, and garlic and cook until the onion is very soft, about 20 minutes. Stir occasionally.
Add the turkey or chicken, a little bit at a time, stirring after each addition, until it just starts to turn white. Be sure to wash your hands with soap and water after handling raw poultry!
Add the spices and cook, stirring, 5 minutes.
Add the beans, tomatoes, and tomato puree and cook, covered, stirring occasionally, for 30 minutes.
Take the lid off and cook uncovered for 30 more minutes. Serve right away or cover and refrigerate up to 3 days.