Turkey Pot Pie for Another Day

INGREDIENTS

• 1 tablespoon unsalted butter
• 1 teaspoon dried thyme
• 8 ounces fresh cremini mushrooms, coarsely chopped
• 1/3 cup dry white vermouth
• 4 cups chicken broth or stock
• 1 egg, lightly beaten
• zest from one lemon, preferably organic
• 2 carrots, cut into small dice
• 3/4 cups frozen peas
• 2 tablespoons chopped flat-leaf Italian parsely
• 1 sheet of puff pastry, thawed
• 4 cups shredded turkey breast
• 1 tablespoon finely minced shallot
• 2 leeks, white and pale green parts thinly sliced
• 1/3 cup flour
• 5 tablespoons good quality olive oil, divided
• 1/4 cup heavy cream, or half & half