Roasted Tomato and Grape Toasts with Fava Bean Puree

Name: Roasted Tomato and Grape Toasts with Fava Bean Puree
Ingredients: 1 1⁄4 cups dried fava beans (7 oz.); 2 small Yukon Gold potatoes (5 oz.), peeled and sliced; 1 garlic clove; 1 tbsp. fresh lemon juice; 1 tbsp. white miso; 1⁄2 cup extra-virgin olive oil, divided; Kosher salt; 1 1⁄4 lb. cherry tomatoes; 1 lb. large green and red grapes; 4 red spring onions (3 oz.), sliced; 1⁄2 tsp. chile flakes; 1⁄4 cup red wine vinegar; 1⁄4 cup fig molasses or maple syrup; 12 medium-thick slices sourdough bread, toasted; 2 tsp. sesame seeds, for garnish; Flaky sea salt, for garnish; Purple or green basil leaves, for garnish