Whisk all of the sauce ingredients together in a small bowl. Set it aside.
Cut the tofu into 1-inch cubes (or triangles, or your favorite shape!).
Place the cornstarch into a shallow bowl.
Generously coat the bottom of a large skillet with oil and place it over medium heat. You'll need the oil to be about ¼ inch thick.
Give the oil a minute to heat up, then dredge a few tofu cubes in the cornstarch, and transfer them to the hot skillet. Add just as many tofu cubes as you can fit without crowding.
Cook the tofu for about 5 minutes, until lightly browned and crisp on the bottom. Flip the tofu pieces and cook for about 5 minutes more, until the pieces are crispy on the opposite sides.
Remove the tofu from the skillet and transfer it to a paper towel-lined plate.
Cook any remaining tofu using the same method, adding oil to the skillet between batches if needed.
If the skillet is dry at this point, add a dash more oil. Raise the heat to high.
Add the chile peppers and white parts of scallions. Stir-fry for about a minute, until the scallions become fragrant and the chiles darken a bit.
Add the broccoli to the skillet and continue stir-frying until the broccoli is tender-crisp and bright green, about 4 minutes.
Return the tofu to the skillet and add the sauce. Flip everything a few times to coat the broccoli and tofu with the sauce.
Cook everything just until the sauce thickens, about 1 minute.
Remove the skillet from heat and sprinkle with green parts of scallions, and sesame seeds.
Divide the General Tso's tofu onto plates and serve it with rice.