In a large pot or dutch oven, brown chicken in 1 tablespoon olive oil (it doesn’t have to be cooked through). Remove from pot and set aside.
Cook onion, carrot and celery in remaining olive oil for about 3 minutes or until onion is slightly softened. Stir in 3 tablespoons of flour, seasonings and salt & pepper to taste. Cook over medium heat about 2 minutes.
Add potatoes, sweet potatoes, red pepper, white wine, browned chicken and broth. Bring to a boil, reduce heat and simmer covered for 30 minutes.
Remove lid and stir in green beans and cream. Thicken if desired (below) and simmer an additional 10 minutes uncovered.
To thicken: In a mason jar combine remaining 2 tablespoons flour and 1 cup water or broth. Shake very well (ensure there are no lumps) and add a little at a time to boiling stew to reach desired consistency.
