Method:
Put tamarind sauce, ginger, tea leaves, rice vinegar and garlic into a container with a tight fitting lid. Add tofu and toss well. Refrigerate, shaking the container occasionally to distribute the marinade, for 12 hours or overnight.
Heat 1 tablespoon of the oil in a large skillet over medium high heat. Drain tofu and reserve marinade. Add tofu and tamari and cook, stirring almost constantly, until tofu is very hot throughout, 5 to 7 minutes. Transfer to a bowl and set aside.
Heat remaining 1 tablespoon oil in skillet. Add broccoli, mushrooms, peppers, onions, tamari and remaining marinade. Cook, stirring frequently, until broccoli is crisp-tender and pan juices have evaporated, 5 to 7 minutes. Return tofu to skillet and toss gently to combine. Drizzle with sesame oil and serve.