Preheat oven to 375°F. Layer your baking dish or deep dish pie plate with one layer of pie crust. Set aside.
Melt the butter in a large skillet over medium high heat. Add the chopped onion, celery, peas & carrots, and cook until the vegetables are tender, about 7-8 minutes. Add in the freshly minced garlic and cook for 2 minutes more until nice and fragrant. Add the shredded chicken and stir all together to combine.
Sprinkle the flour over the top of the chicken and vegetable mix and stir until everything is evenly coated. Cook for 2 more minutes, then pour in the chicken broth to the mix. Stir constantly for 2-3 more minutes until the mixture starts to thicken.Toss in cheese cubes and stir in until completely melted.
Add in your seasonings; thyme, seasoned salt, poultry seasoning, garlic powder, and some salt & pepper to taste. Stir in the heavy cream and cook for about 3 more minutes until filling is nice and thick. Pour into your prepared baking dish.
Spread out crescent rolls and roll out to flatten. Once ready to cover entire top of pie, place and secure and add slits on top with a knife for a few vents. Whisk egg and water together and lightly brush on crescent dough top. Place in the oven and bake for 20 – 25 minutes until crescent roll dough is golden brown on top and cooked through.
Let it cool slightly before serving. Enjoy!