Wrap the extra firm tofu in a clean kitchen towel and place a heavy object on top to press out excess moisture for 15 minutes.
Slice the pressed tofu into 1-inch cubes and season evenly with the sea salt and black pepper.
Heat the avocado oil in a large non-stick skillet over medium-high heat until shimmering.
Add the tofu cubes to the skillet in a single layer and sear for 3-4 minutes per side until golden brown and crispy.
Add the broccoli florets and shelled edamame to the pan, stirring frequently for 5 minutes until the broccoli is bright green and tender-crisp.
In a small bowl, whisk together the coconut aminos, toasted sesame oil, minced ginger, and minced garlic.
Pour the sauce over the tofu and vegetables, tossing constantly for 1 minute until everything is well-coated and fragrant.
Remove from heat and sprinkle with sesame seeds before serving.