01 - Rinse the corned beef brisket under cold water and pat dry. Place it in a large Dutch oven or heavy pot.
02 - Add the spice packet, garlic, bay leaves, and peppercorns. Pour in beef broth and water to just cover the meat.
03 - Bring to a boil over medium-high heat. Skim off any foam, then reduce heat to low, cover, and simmer for 2 hours.
04 - Add potatoes, carrots, and onion around the brisket. Cover and continue simmering for 30 minutes.
05 - Add cabbage wedges on top of the vegetables. Cover and cook for an additional 30 minutes, or until the cabbage and vegetables are very tender and the meat is fork-tender.
06 - Remove the brisket and let rest for 10 minutes before slicing against the grain.
07 - Arrange sliced corned beef and vegetables on a serving platter. Ladle some cooking broth over the top, and serve hot.