Chef John's Creamy Mushroom Pasta
Ingredients:
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2 tablespoons olive oil
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¾ pound fresh white mushrooms, sliced
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¼ pound fresh shiitake mushrooms, stemmed and sliced
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salt and ground black pepper to taste
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2 cloves garlic, minced
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2 fluid ounces sherry
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1 cup chicken stock
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1 cup heavy whipping cream
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8 ounces fettuccine pasta
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1 ½ teaspoons chopped fresh thyme
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1 ½ teaspoons chopped fresh chives
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1 ½ teaspoons chopped fresh tarragon
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9 tablespoons freshly shredded Parmigiano-Reggiano cheese, divided