Place large pot filled with water on stovetop over medium heat. Heat pot until water is hot but not yet boiling. Reduce heat slightly to maintain water temperature, keeping water on verge of boiling until ready to use.
Place tofu (or chicken) on cutting board. Use sharp knife to cut protein into bite-sized cubes (or pieces). Set aside.
Add soy sauce, sesame oil, and garlic-ginger paste to large bowl. Whisk well until ingredients are fully incorporated, then add protein to bowl and toss to coat in marinade. Set bowl aside.
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.
Heat large skillet over medium heat. When pan is hot, add broccoli florets and ½ cup water, then cover pan with lid.
Cook broccoli 2 to 3 minutes or until bright green and tender-crisp. Use slotted spoon to transfer broccoli to medium bowl. Discard remaining water.
Return empty skillet to medium heat. Add 1 tablespoon neutral oil and tilt or swirl pan to distribute oil across surface. Heat pan until oil is hot and shimmery.
When oil is hot, add marinated protein and 2 tablespoons of marinade (or however much remains, if less than 2 tablespoons) to skillet. Cook, stirring frequently, approximately 3 to 4 minutes or until edges of tofu are golden (or until chicken is mostly cooked through).
While protein cooks, increase heat under pot of water to medium-high and bring water to rolling boil. Once water begins to boil, add noodles and cook according to package instructions. When noodles are just al dente, pour water and noodles into colander and drain well. Set colander aside.
When protein is cooked through, add remaining tablespoon oil, garlic, bok choy, and white parts of green onions to skillet. Cook 2 to 3 minutes, stirring often, until vegetables are vibrant.
Reduce heat under skillet to medium. Add stir fry sauce, al dente noodles, steamed broccoli and green parts of green onions. Cook, stirring occasionally, until ingredients are warmed through and sauce has thickened, approximately 30 to 60 seconds. Note: be careful not to stir too roughly, as broccoli and tofu can break.
Divide stir fry into serving bowls. Garnish with sesame seeds and additional green onions if desired. Serve warm.