Korean Gochujang Noodles

Name: Korean Gochujang Noodles
Ingredients: 2 tablespoons neutral cooking oil; 8 ounces black oyster mushrooms, shredded (sub shittake or oyster); 1 cup napa cabbage, shredded; 3 cloves garlic, minced; 1 teaspoon ginger, grated; 16 ounces udon noodles, fresh (tip: find in frozen section and just drop in boiling water until thawed); 1/2 cup green onion, chopped; 1 tablespoon gouchujang paste; 1/2 tablespoon sesame oil; 2 tablespoons soy sauce; 1 tablespoon rice vinegar; 1 tablespoon maple syrup; 1/2 teaspoon arrowroot starch, sub cornstarch; 1/4 cup pasta water