Vegetarian Chow Mein

Name: Vegetarian Chow Mein
Ingredients: 6 ounces dry chow-mein noodles, such as Wel-Pac; ¼ cup safflower oil, plus more if needed; 1 tablespoon finely grated ginger (from a 2-inch piece); 1 bunch scallions (5 ounces), white parts cut into 1-inch pieces (½ cup), greens thinly sliced; 8 ounces broccoli, cut into florets (2 cups), stems peeled and sliced; 6 ounces carrots, peeled and sliced on the bias (1 cup); ¼ cup black-bean sauce, such as Lee Kum Kee; 1 tablespoon cornstarch, dissolved in 1 cup water; 1 tablespoon rice-wine vinegar; 1 can (15 ounces) baby corn, drained