General Tso's Shrimp with Broccolini

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1 large egg white

3 tablespoons Shaoxing rice wine, mirin or dry sherry

3 tablespoons soy sauce

2 tablespoons cornstarch, plus more for coating (about 3/4 cup)

1 pound large shrimp, peeled and deveined (tails intact)

1/3 cup Thai-style sweet chili sauce

3 tablespoons vegetable or peanut oil, plus more for deep-frying

2 bunches broccolini, trimmed

1 bunch scallions, cut into 1 1/2-inch pieces

2 cloves garlic, minced

1/2 to 1 teaspoon red pepper flakes

4 cups cooked white rice, for serving