Drain and press the extra-firm tofu for at least 15 minutes to remove excess moisture, then cut into 1-inch cubes.
In a small bowl, whisk together the tamari, toasted sesame oil, grated ginger, minced garlic, raw honey, and arrowroot powder until smooth.
Heat the avocado oil in a large non-stick skillet or wok over medium-high heat.
Add the tofu cubes to the skillet and sear for 8-10 minutes, turning occasionally until all sides are golden brown and slightly crispy.
Remove the tofu from the pan and set aside; add the broccoli florets, sliced carrots, and shelled edamame to the same pan with a splash of water.
Cover and steam the vegetables for 3-4 minutes until they are vibrant and tender-crisp.
Return the tofu to the pan and pour the prepared sesame sauce over the mixture, tossing constantly for 1-2 minutes until the sauce thickens and becomes glossy.
Season with sea salt and black pepper, then garnish with sesame seeds before serving.