1. Prepare the Flavor Base (The Stew)

1. Sauté Aromatics: Place your large Dutch oven or heavy-bottomed pot over medium heat. Add the olive oil and butter. Once the butter is melted, add the chopped onion, carrots, and celery. Sauté for 7-10 minutes, stirring occasionally, until the vegetables are softened but not browned. This step is crucial for building a deep flavor foundation.
2. Add Garlic: Stir in the minced garlic and cook for another minute until fragrant. Be careful not to burn the garlic.
3. Create a Light Roux (Thickener): Sprinkle the 1/4 cup of all-purpose flour over the softened vegetables. Stir continuously for 1-2 minutes to cook out the raw flour taste. This will form a paste, which is the base of your thickening agent.
4. Gradually Add Broth: Slowly pour in about 1 cup of the chicken broth, whisking constantly to create a smooth mixture and prevent lumps. Once smooth, gradually add the remaining 5-7 cups of chicken broth, continuing to stir. The amount of broth can be adjusted later depending on your desired consistency.
5. Season and Simmer: Add the dried thyme and bay leaves to the pot. Bring the mixture to a gentle simmer over medium-low heat. Cover partially and let it simmer for about 10-15 minutes to allow the flavors to meld.

2. Add Chicken and Prepare for Dumplings

1. Incorporate Chicken: Stir the shredded cooked chicken into the simmering broth. Taste the broth and season with salt and black pepper as needed. Remember that the dumplings will also absorb some of the seasoning.
2. Adjust Broth Level: If the stew seems too thick already, you can add a little more broth (up to the 8-cup mark). You want enough liquid for the dumplings to cook in and for the stew to have a nice consistency. Keep the stew at a gentle, consistent simmer – not a rolling boil.

3. Make the Dumpling Batter

1. Combine Dry Ingredients: While the stew is simmering, prepare the dumpling batter. In a medium mixing bowl, whisk together the 2 cups of all-purpose flour, 1 tablespoon of baking powder, and 1 teaspoon of salt.
2. Add Wet Ingredients: Pour in the 1 cup of milk and the optional 2 tablespoons of melted butter and optional 2 tablespoons of chopped fresh parsley or chives. Stir with a fork or spatula just until combined. The batter will be thick and slightly lumpy. Do not overmix! Overmixing develops gluten and will result in tough, heavy dumplings instead of light and fluffy ones. A few streaks of flour are okay.

4. Cook the Dumplings

1. Drop Dumplings: Increase the heat slightly if needed to maintain a steady, gentle simmer (not a hard boil). Drop spoonfuls (a regular tablespoon or a small cookie scoop works well) of the dumpling batter directly onto the surface of the simmering stew. Space them out as they will expand during cooking. Try not to overcrowd the pot; work in batches if necessary, though a large pot should accommodate them all.
2. Simmer Covered – No Peeking!: Once all the batter is dropped, cover the pot tightly with a lid. Reduce the heat to low or medium-low to maintain a gentle simmer. Cook for 15-20 minutes without lifting the lid. This is crucial! Lifting the lid releases steam, which is essential for cooking the dumplings through and making them fluffy.
3. Check for Doneness: After 15-20 minutes, you can lift the lid. The dumplings should have puffed up and appear cooked through. To test, insert a toothpick into the center of a dumpling; it should come out clean or with just a few moist crumbs. If they need more time, cover and cook for another 2-3 minutes.

5. Finish and Serve

1. Add Cream (Optional): Gently stir in the 1/2 cup of heavy cream or half-and-half, if using, for added richness. Be careful not to vigorously stir and break up the delicate dumplings.
2. Final Seasoning & Garnish: Taste the stew one last time and adjust salt and pepper if necessary. Remove the bay leaves.
3. Serve Hot: Ladle the chicken and dumplings into warm bowls. Garnish generously with fresh chopped parsley. Enjoy immediately!