Drain the tofu and wrap it in a clean kitchen towel, placing a heavy object on top for 15 minutes to remove excess moisture.
Cut the pressed tofu into 1-inch cubes and place them in a bowl.
Sprinkle the tofu with nutritional yeast, sea salt, and black pepper, tossing gently until each cube is evenly coated.
Heat the sesame oil in a large non-stick skillet over medium-high heat.
Add the tofu cubes to the skillet and sear for 3-4 minutes per side until all edges are golden brown and crispy.
Add the broccoli florets and shelled edamame to the skillet along with two tablespoons of water; cover with a lid for 2 minutes to steam-soften the vegetables.
In a small bowl, whisk together the tamari, chili garlic sauce, minced garlic, and grated ginger.
Remove the lid and pour the sauce over the tofu and vegetables, tossing constantly for 1-2 minutes until the sauce thickens and coats everything beautifully.
Serve immediately while the tofu is at its maximum crispness.