First, press the tofu. Wrap the tofu in 2 layers of paper towels, and place on a plate. Put another plate on top of the tofu to weigh it down. Leave it for about 15-20 minutes.
Meanwhile, set a pot of water on high heat and bring to a boil, then cook your noodles as per the packets instructions until JUST al dente. When done, immediately drain and rinse with cold water.
To make the stir fry sauce, add soy sauce, dry white wine, oyster sauce, sesame oil, garlic-ginger paste, and cornstarch to medium bowl. Whisk well until ingredients are fully combined and cornstarch is dissolved. Set bowl aside.
To marinate the tofu, pour 1 tablespoon of the sauce over tofu and toss gently to coat. Leave to marinate while you chop the vegetables.
Heat 1 tablespoon of sesame oil in large heavy skillet or wok over high heat. Add tofu and cook, without stirring, until the pieces are brown on the bottom and release easily from the pan. If it sticks, keep cooking, adding more oil if necessary. Stir and cook until golden on another side or two, then transfer to plate.
Heat the remaining 1 tablespoon of sesame oil in a large wok or skillet over medium heat. Add the green onions (white parts) and vegetables to the hot pan. Stir fry until fork tender and green onions are softening, about 5 minutes. Add 2 tablespoons of water to loosen the browned bits up off the bottom of the pan. Let cook til water has evaporated.
Remove from the heat. Let everything cool about 1 minute then add the cooked noodles and about half of the sauce – toss around in the hot pan to combine. Add more sauce if needed until color of noodles looks just right (medium brown, not dark, not light). Top with green parts of green onions and sesame seeds to serve.