1. Combine broth, sherry (or rice wine), soy sauce, 3/4 teaspoon cornstarch, sugar and crushed red pepper in a small bowl. Set aside.
Cut tofu into 3/4-inch cubes and pat dry, then sprinkle with salt. Place the remaining 1 1/2 teaspoons cornstarch in a large bowl. Add the tofu; toss gently to coat. Heat 3/4 teaspoon oil in a large nonstick skillet or wok over medium-high heat. Add the tofu; cook, undisturbed, until browned, about 3 minutes. Gently turn and cook, stirring occasionally, until browned all over, 2 to 3 minutes more. Transfer to a plate.
Reduce heat to medium. Add the remaining 3/4 teaspoon oil, garlic and ginger; cook until fragrant, about 30 seconds. Add broccoli and water; cover and cook, stirring once or twice, until tender-crisp, 2 to 4 minutes. Stir the reserved broth mixture and add to the pan. Cook until the sauce has thickened, 1 to 2 minutes. Return the tofu to the pan; toss to combine with the broccoli and sauce.
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