01 - Rinse the corned beef brisket under cold water and place it in a large stockpot or Dutch oven.
02 - Add the spice packet, bay leaves, peppercorns, mustard seeds, onion, garlic, water, and beef broth to the pot.
03 - Bring to a boil over medium-high heat, then reduce heat to low. Cover and simmer gently for 2 hours.
04 - Add the potatoes and carrots to the pot, re-cover, and simmer for 30 minutes.
05 - Add the cabbage wedges, cover, and cook for another 20-30 minutes, until all vegetables are tender and the corned beef is fork-tender.
06 - Remove the corned beef and let it rest for 10 minutes before slicing against the grain.
07 - Arrange the sliced corned beef on a platter, surrounded by the cooked vegetables. Ladle some cooking broth over the top, if desired. Serve hot.