Chef John's Hot and Sour Soup
Ingredients:
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¾ ounce dried shiitake mushrooms
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2 tablespoons soy sauce, or more to taste
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¼ cup seasoned rice vinegar
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1 teaspoon ground white pepper, or to taste
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¼ teaspoon sesame oil
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3 tablespoons cornstarch, or as needed
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3 tablespoons water, or as needed
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2 teaspoons vegetable oil
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1 teaspoon minced fresh ginger root
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¼ cup sliced green onions
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4 cups chicken broth
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¼ cup grated carrot
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2 tablespoons thinly sliced red bell pepper
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½ cup bamboo shoots
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1 cup cubed tofu
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2 large eggs, beaten