01 - Rinse the corned beef brisket thoroughly under cold running water to remove excess brine. Transfer to a large Dutch oven or heavy-bottomed pot.
02 - Pour in beef broth, water, the reserved spice packet from corned beef, bay leaves, peppercorns, and smashed garlic. Bring mixture to a gentle simmer over medium-high heat.
03 - Cover pot tightly, reduce heat to low, and maintain a gentle simmer for 2 hours until beef begins to tenderize.
04 - Add potatoes, carrots, onion, and celery to the simmering liquid. Cover and continue cooking for 45 minutes.
05 - Nestle cabbage wedges into the pot, re-cover, and cook for 30 minutes longer until vegetables and beef are fork-tender.
06 - Transfer corned beef to cutting board and let rest for 10 minutes. Slice thinly against the grain for maximum tenderness.
07 - Arrange sliced beef and vegetables on serving platter. Drizzle with melted butter and garnish with fresh parsley if desired. Serve hot with ladlefuls of cooking broth.