Duck and Andouille Gumbo

Name: Duck and Andouille Gumbo
Ingredients: 8 duck legs, fat trimmed, thighs and drumsticks separated; 1 large yellow onion, finely chopped; 3 cloves garlic, finely chopped; 12 sprigs thyme; 1 sprig sage; 1 cup plus 2 tbsp. (5 oz.) all-purpose flour; 2 tbsp. hot sauce; 2 tbsp. sweet paprika; 1 tbsp. cayenne; 1 tbsp. Worcestershire sauce; 1 lb. andouille sausage, cut crosswise into 1/4-inch-thick coins; 1 lb. okra, cut crosswise into 1/3-inch-thick coins; Kosher salt and freshly ground black pepper; Cooked white rice, for serving