By the next morning, the duck’s skin should feel slightly tacky but not slick. If there are wet spots, gently sponge them off with a paper towel.
Remove the duck from the fridge 3 hours before you plan to serve it. The skin should be fully dry at this point.
Make the stock: Carefully remove the head and neck of the duck, cutting several joints up from the body to avoid piercing the body cavity. Place the head, neck, wingtips and feet in the smallest pot that will hold them, and add just enough water to cover. Bring the water to a boil, then turn the heat as low as possible and simmer everything, covered, while you roast the duck.
Cover a baking sheet in foil and set a roasting rack on top of it. Coat the rack with oil or butter, then set the duck, breast side down, onto the rack. Let the duck come up to temperature for an hour, then preheat the oven to 300°F.
Roast the duck breast side down for 35 minutes, then raise temperature to 400°F and roast for another 15 minutes. Remove the duck from the oven and gently flip it, so it sits breast side up. Return the duck to the oven and roast it another 15–30 minutes, or until the bird is mahogany colored all over. Keep an eye on it after flipping; if some parts are browning too quickly, cover them with foil.
Remove the duck when it is browned all over and the breast has reached 160°F. Let it rest on the rack for 15 minutes.
While the duck is resting, start the sauce: Combine the soy sauce, rock sugar, Shaoxing, ginger, scallions, bay leaves, star anise, mandarin peel, cassia, black cardamom, red yeast rice (if using), Sichuan peppercorns and fennel in a stockpot, along with one cup of the simmering duck stock. Bring everything to a simmer.
When the duck is cool enough to handle, carefully hold it vertically over a large bowl and remove the trussing pins, letting the jus from the belly flow into the bowl. Add this jus to the stockpot with the sauce ingredients, then continue simmering the mixture for another 10 minutes.
While the sauce is cooking, carve and plate the duck, adding the solids from inside the belly to the simmering sauce. To carve the duck, I like to split the bird in half lengthwise, remove the spine, remove the wings and legs, and then hack each half of the duck into ½-inch pieces on the bone. That said, carving it like a turkey also works beautifully.
Taste the sauce and adjust the seasoning as needed: It should be well balanced between savory and sweet and have a ducky depth and mildly fruity aroma. It should be drinkable. If it is too salty, or if any particular spice stands out, add a little more duck stock. If it is bland, let it reduce for a few more minutes. When you are happy with it, strain out all the solids. Ladle the sauce over your platter of duck right before serving. (Leftovers can be refrigerated in the sauce and reheated by steaming, also in the sauce. Try to avoid microwaving the duck, as it will destroy the texture of the meat.)