Add the remaining 1 tablespoon vegetable oil to the skillet. Increase the heat to high and add the broccoli. Cook, stirring, until crisp-tender, about 5 minutes. Add the bell pepper, carrot, jalapeno, and ginger and cook until just softened, 2 more minutes. Add the noodles, tofu and soy sauce mixture and cook, tossing, until most of the sauce is absorbed, about 2 minutes. Stir in enough of the remaining 1/2 cup cooking water to loosen. Drizzle with the sesame oil, season with salt and toss.