Step 1: Prepare the Lamb
1. Preheat Oven: Preheat your oven to 300°F (150°C).
2. Season the Lamb: Pat the lamb shoulder dry with paper towels. Season generously with salt and pepper on all sides.

Step 2: Sear the Lamb
1. Heat Olive Oil: In a large Dutch oven or oven-safe pot, heat 2 tablespoons of olive oil over medium-high heat.
2. Sear Lamb: Add the lamb shoulder to the pot and sear for about 4-5 minutes on each side until browned. Remove the lamb from the pot and set aside.

Step 3: Make the Aromatic Base
1. Sauté Garlic and Herbs: In the same pot, add the remaining 2 tablespoons of olive oil. Add the minced garlic, chopped rosemary, and thyme. Sauté for about 1 minute until fragrant.
2. Deglaze the Pot: Pour in the red wine (if using) and scrape up any browned bits from the bottom of the pot. Allow it to simmer for about 2 minutes.

Step 4: Roast the Lamb
1. Add Broth: Return the lamb shoulder to the pot and add the chicken or beef broth. The liquid should come about halfway up the lamb.
2. Cover and Roast: Cover the pot with a lid or tightly with foil. Place it in the preheated oven and roast for 4-5 hours, or until the lamb is fork-tender and easily pulls apart.

Step 5: Prepare the Glaze
1. Make the Glaze: In a small bowl, whisk together the honey, Dijon mustard, lemon zest, and lemon juice.
2. Glaze the Lamb: About 30 minutes before the lamb is done, remove the lid or foil and brush the glaze over the lamb. Return it to the oven uncovered to allow the glaze to caramelize.

Step 6: Serve
1. Rest the Lamb: Once the lamb is done, remove it from the oven and let it rest for about 10-15 minutes before slicing.
2. Slice and Plate: Slice the lamb shoulder and serve it with the pan juices drizzled over the top. Garnish with additional fresh rosemary if desired.