Vegetable Dumplings with Dale Talde

Name: Vegetable Dumplings with Dale Talde
Ingredients: 1 pound shiitake mushrooms; 1/2 cup vegetable oil; Kosher salt; 8 ounces kale leaves, shredded; 8 ounces firm tofu, drained; 1/2 bunch fresh cilantro, finely chopped; 1/3 cup finely chopped scallions; 3 tablespoons light soy sauce; 1 tablespoon toasted sesame oil; Cornstarch, for dusting; One (14-ounce) package dumpling wrappers; 2 tablespoons soy sauce; 2 tablespoons black vinegar; 1 teaspoon sugar; 1 tablespoon julienned or grated fresh ginger; 1 teaspoon sesame oil