01 - Rinse the corned beef brisket under cold water to remove excess brine. Place it in a large Dutch oven or heavy pot.
02 - Add beef broth, water, spice packet from the corned beef, bay leaves, peppercorns, and garlic. Bring to a simmer over medium-high heat.
03 - Cover, reduce heat to low, and simmer gently for 2 hours.
04 - Add potatoes, carrots, onion, and celery to the pot. Continue simmering, covered, for 45 minutes.
05 - Add cabbage wedges, re-cover, and cook for an additional 30 minutes, or until all vegetables and beef are fork-tender.
06 - Remove the corned beef and let it rest for 10 minutes before slicing against the grain.
07 - Arrange sliced beef and vegetables on a platter. If desired, drizzle with melted butter and sprinkle with fresh parsley. Serve hot with some of the cooking broth.