Press the firm tofu between paper towels for 10 minutes to remove excess moisture, then cut into 1-inch cubes.
Heat the toasted sesame oil in a large wok or non-stick skillet over medium-high heat.
Add the tofu cubes to the pan and sear for 5-7 minutes, turning occasionally until the edges are golden brown.
Toss in the broccoli florets and sliced red bell pepper, stir-frying for 3-4 minutes until the vegetables are tender but still crisp.
Add the shelled edamame, minced garlic, and grated ginger to the mixture, sautéing for another 2 minutes until fragrant.
Pour the tamari over the vegetables and tofu, seasoning with sea salt and black pepper.
Stir everything together for 1 minute to ensure the sauce coats all ingredients evenly.
Remove from heat and garnish with sliced green onions before serving warm.