Roasted Tomato and Grape Toasts with Fava Purée

Name: Roasted Tomato and Grape Toasts with Fava Purée
Ingredients: 1¼ cups (7 oz.) dried fava beans; 2 small (5 oz.) Yukon Gold potatoes, peeled and sliced; 1 garlic clove; 1 tbsp. fresh lemon juice; 1 tbsp. white miso; ½ cups extra-virgin olive oil, divided; Kosher salt; 1¼ lb. cherry tomatoes; 1 lb. large green and red grapes; 4 red spring onions (3 oz.), sliced; ½ tsp. chile flakes; ¼ cups red wine vinegar; ¼ cups fig molasses or maple syrup; Twelve ½-in. thick slices sourdough bread, toasted; 2 tsp. sesame seeds, for garnish; Flaky sea salt, for garnish; Purple or green basil leaves, for garnish