Mushroom Dumplings

Name: Mushroom Dumplings
Prep time: 1 h
Cook time: 10 min
Total time: 1 h 10 min
Cuisine: Chinese
Ingredients: 12 dried shiitake mushrooms; 4 Tablespoons of neutral oil plus more for pan searing dumplings; 8 oz cremini mushrooms; ½ large onion, minced; 3 garlic cloves, minced; 1 Tablespoon peeled and minced ginger; 1 Tablespoon soy sauce; 1 Tablespoon sesame oil; 1 teaspoon sugar; ¼ cup sake; ¼ teaspoon ground black pepper; 2 scallions, minced; 1 teaspoon salt; 8 oz medium firm tofu; 1 package dumpling wrappers*; 1 egg*; ¼ cup soy sauce; ½ cup black vinegar; 2 tablespoons shredded ginger; 1 tablespoon sesame oil