Prep all ingredients.
Combine green beans, wax beans, carrots, and turnip in a stockpot; add water to cover.
Stir in salt and bring to a boil. Reduce heat and let simmer for 30 minutes.
Add potatoes and continue simmering until tender (about 30 more minutes).
Mix in cream and butter.
Whisk together 1/2 cup water and flour; incorporate into stew and cook until thickened (3 to 5 minutes).
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