Bring a pot of water to a boil and cook the edamame noodles according to package directions, usually about 4-5 minutes. Drain and set aside.
Press the extra firm tofu to remove excess moisture, then cut into 1-inch cubes. Season with sea salt and black pepper.
Finely mince the garlic and ginger. Crush the Szechuan peppercorns using a mortar and pestle or the side of a knife.
Heat the toasted sesame oil in a large non-stick skillet or wok over medium-high heat.
Add the tofu cubes to the skillet and sear for 3-4 minutes per side until golden brown and crispy.
Add the broccoli florets to the skillet along with a splash of water; cover and steam for 2 minutes until vibrant green and tender-crisp.
Stir in the garlic, ginger, and crushed Szechuan peppercorns, sautéing for 1 minute until fragrant.
Add the cooked edamame noodles to the skillet.
Pour in the tamari and chili garlic sauce, tossing everything together until the noodles and tofu are thoroughly coated and heated through.
Garnish with sliced green onions and serve immediately.