In a small bowl, whisk together miso paste, tahini, and 2 tablespoons of warm water until smooth; set aside.
Heat sesame oil in a large pot over medium heat; add tofu cubes and sear until golden on all sides, then remove and set aside.
Add garlic, ginger, and mushrooms to the same pot, sautéing for 3 minutes until fragrant.
Pour in vegetable broth, soy milk, soy sauce, and nutritional yeast; bring to a gentle simmer, ensuring the liquid does not reach a hard boil.
Add high-protein noodles and edamame to the broth; cook according to noodle package instructions, typically 4 to 5 minutes.
During the last 2 minutes of noodle cooking, add the bok choy to the broth to blanch until tender-crisp.
Turn off heat and stir in the reserved miso-tahini mixture until fully incorporated into the broth.
Distribute the noodles and broth into two bowls and top with the seared tofu.