Make the Chicken Pot Pie Soup
Preheat oven to 375 degrees F (190 degrees C).
Melt the butter in a dutch oven on medium-high heat. Season the chicken thigh meat with the 2 teaspoon kosher salt and ½ teaspoon black pepper. Sear chicken on both sides until the chicken has a nice golden brown color, 2-3 minutes on each side.
Use a slotted spoon or tongs to remove the chicken to a plate. Set aside.
Add your carrots, onion, and celery into the dutch oven. Sauté for 3-5 minutes, or until onions become translucent and the carrots start to gain a brown crust.
Stir in the fresh thyme, rosemary, granulated garlic, ground turmeric and let that mix in for 2 minutes. Stir in all purpose flour, yes it will get thick and gloopy, that's alright.
Begin to splash in the chicken broth, stirring constantly, adding more as the flour absorbs the liquid. Keep going, it's going to look weird until the broth and the flour thin out and become liquid and soup-like. Add in heavy cream.
Simmer over medium heat, stirring occasionally, for 15 minutes. The soup will thicken up slightly. Add the chicken back to the pot and the frozen peas five minutes before you're done cooking, you don't want to overcook them.
Serve hot with puff pastry (or preferred topping) on the side.
Make the Puff Pastry Crust Top
Cut your puff pastry into 8 equal pieces, cut into squares or rectangles, then whisk together the egg and water together for an egg wash. Gently brush it on to the pastry, place the pastry onto a baking sheet, and bake according to packaging instructions.