Kosher salt
1 8-ounce package thin Chinese noodles
1 12-ounce package broccoli slaw
2 teaspoons toasted sesame oil
1 14-ounce package extra-firm tofu, drained and cut into 1/2-inch cubes
1/4 cup vegetable oil
6 scallions, cut into 1-inch pieces
1 tablespoon minced peeled ginger
2 5-ounce packages sliced shiitake mushrooms
2 cups low-sodium mushroom or vegetable broth
2 tablespoons soy sauce
Freshly ground pepper
2 teaspoons cornstarch