Place the corned beef brisket in a large pot or Dutch oven. Add the quartered onion, minced garlic, chopped carrots, and water. Bring to a boil over medium-high heat.
Once boiling, reduce the heat to low. Cover and simmer for about 3 hours, or until the corned beef is tender (internal temperature should reach 190°F).
Preheat the oven to 350°F (175°C).
Carefully remove the corned beef from the pot and place it in a baking dish. Let it rest for about 10 minutes before slicing.
In a small bowl, whisk together the brown sugar, Dijon mustard, apple cider vinegar, black pepper, ground ginger, and ground cloves to create the glaze.
Brush the glaze generously over the corned beef. If there’s any glaze leftover, reserve it for serving.
Bake the glazed corned beef in the preheated oven for 25-30 minutes, or until the glaze is caramelized and bubbly.
Remove from the oven and let rest for 5 minutes. Slice against the grain and serve with any remaining glaze.