01 - Preheat the oven to 340°F (170°C). Position the rack in the lower third of the oven to allow room for the Dutch oven.
02 - Pat the duck pieces thoroughly dry with paper towels. Season generously on all sides with kosher salt and black pepper, ensuring even coverage.
03 - Place a large Dutch oven or deep ovenproof skillet over medium heat. Sear the duck pieces skin-side down for 5 to 7 minutes until deeply golden brown and fat has rendered. Flip and brown the opposite side for 2 to 3 minutes. Transfer the duck to a plate and set aside.
04 - Pour off all but 2 tablespoons of rendered duck fat from the pan. Add the sliced shallots, smashed garlic, and leeks. Sauté until fragrant and softened, approximately 3 minutes.
05 - Add the carrots, parsnips, halved baby potatoes, and mushrooms to the pot. Stir for 2 to 3 minutes, coating the vegetables evenly in the rendered fat.
06 - Deglaze the pan with white wine, scraping up all browned bits from the bottom. Pour in the chicken stock, gluten-free soy sauce, and honey. Add the bay leaves and thyme sprigs. Stir well to combine all components.
07 - Nestle the seared duck pieces skin-side up on top of the vegetables. Bring the liquid to a gentle simmer on the stovetop, then cover with a tight-fitting lid.
08 - Transfer the covered Dutch oven to the preheated oven. Braise for 1 hour and 30 minutes, or until the duck is fork-tender and the vegetables are soft throughout.
09 - Remove the lid and increase the oven temperature to 425°F (220°C). Brush the duck skin with neutral oil. Roast uncovered for 15 to 20 minutes until the skin is deeply crisp and golden brown.
10 - Remove from the oven and let rest for 5 minutes. Discard the bay leaves and thyme stems. Serve the duck pieces over the braised vegetables, spooning the concentrated braising juices around each portion.