Lobster Pot Pie Recipe

Name: Lobster Pot Pie Recipe
Ingredients: 4 tablespoons butter; 1 1/2 cups baby portobello mushrooms, quartered; 2 shallots, minced; 1/4 cup cognac; 2 tablespoons all-purpose flour; 1 1/2 cups vegetable stock; 1 cup milk, at room temperature; 1 cup heavy cream, at room temperature; 1/2 teaspoon freshly grated nutmeg; 1/4 teaspoon cayenne pepper; 3 sprigs fresh thyme, leaves only; 1/2 cup frozen peas, thawed; 1 tablespoon fresh tarragon, chopped; 1 pound lobster meat, picked over for shells and cut into 1 1/2-inch chunks; 1 sheet puff pastry, thawed if frozen; 1 egg, beaten with 1 tablespoon of cold water