Chicken Pot Pie Soup

Name: Chicken Pot Pie Soup
Prep time: 20 min
Cook time: 40 min
Total time: 1 h
Cuisine: American, Southern
Ingredients: 1 tablespoon olive oil; 2 large chicken breasts; 2 tablespoons unsalted butter; 1 large onion (diced); 2 cloves garlic (minced or pressed); 1 cup carrots (sliced); 8 ounces cremini mushrooms (sliced (optional) ); 1/4 cup all purpose flour; 1/2 cup white cooking wine (optional); 3 cups vegetable stock; 2 cups Yukon gold potatoes (diced ); 1 cup corn kernels; 2 teaspoons fresh thyme; 2 teaspooons fresh sage; 1 teaspoon kosher salt; 1/2 teaspoon black pepper; 1/2 teaspoon ground cayenne; 1/4 teaspoon ground nutmeg; 2 cups heavy cream (substitute half & half or whole milk); 1 1/2 cups green beans (substitute green peas); 1 sheet frozen puff pastry (thawed); 1 large egg (beaten for egg wash); flaky sea salt