3 boneless, skinless chicken breasts, cubed (about 2 pounds)
6 cups chicken broth (low fat, reduced sodium)
Bouquet garni (3 sprigs of parsley, 2 sprigs of thyme, 1 bay leaf, preferably fresh, 6 black peppercorns, tied together in cheesecloth)
2 cups flour
2 tablespoons finely grated Parmigiano-Reggiano cheese (about 1/2 ounce), plus more for garnish
1 tablespoon baking powder
1 tablespoon chopped fresh flat-leaf parsley
Coarse salt and freshly ground black pepper
1 cup whole milk
3 tablespoons butter
1 tablespoon canola oil
1 onion, preferably Vidalia, chopped
3 large carrots, cut into 1/2-inch rounds
1 cup peas
1 clove garlic, finely chopped
To poach the chicken, in a large saucepan, add the breasts and the chicken broth to cover. Add the bouquet garni. Bring to a boil over high heat, then decrease the heat to low. Simmer, skimming off the foam occasionally, until the chicken is tender, 10 to 15 minutes. (If the stock is cloudy, don’t worry; it’s simply protein clarified from the stock. Just ignore it or strain it out.) Transfer the poached chicken to a warm plate; reserve the broth. Cover with a lid and set aside.
To prepare the dumplings, in a bowl, combine the flour, cheese, baking powder, parsley, and ¾ teaspoon of the salt. In a small saucepan, bring the milk and butter to a simmer over low heat; season with black pepper. Add the milk mixture to the dry ingredients and stir to combine.
In a second large saucepan, heat the oil over medium heat. Add the onion, carrots, and peas. Cook until the onions are translucent, 3 to 5 minutes. Add the garlic and cook until fragrant, 45 to 60 seconds. Add the reserved broth and bring to a boil over high heat. Decrease the heat to low. Using a small ice cream scoop or tablespoon, drop the dough, about 1 tablespoon at a time, into the simmering stock. Cover and simmer until the dumplings are cooked through and the vegetables are tender, about 20 minutes.
To assemble, add the reserved chicken and cook just until heated through, about 5 minutes.
To serve, ladle into shallow bowls and garnish with additional cheese; serve immediately.