Vegetarian Chow Mein

Name: Vegetarian Chow Mein
Ingredients: 2 tablespoons vegetable oil; 2 to 3 teaspoons fresh ginger, minced; 3 garlic cloves, minced; 1 cup bok choy, chopped (both green and white parts); 2 large carrots, peeled and chopped; ½ red bell pepper, chopped; 8 oz shiitake or oyster mushrooms, chopped; 8 ounces fresh or dried chow mein egg noodles; 1 cup fresh bean sprouts; 1 to 2 cups snow peas; ¼ cup vegetable broth; ½ cup hoisin sauce; 2 tablespoons low sodium soy sauce + more if needed; 2 tablespoons honey; Kosher salt and freshly ground black pepper; 2 green onions, diced for garnish