01 - Rinse the corned beef brisket under cold water to remove excess brine. Place it in a large stockpot and add the spice packet, bay leaves, peppercorns, mustard seeds, onion, and garlic.
02 - Add enough water to cover the beef by at least 1 inch. Bring to a boil over high heat, then reduce heat to low, cover, and simmer for 2½ hours, skimming off any foam that rises to the surface.
03 - After 2½ hours, add potatoes and carrots to the pot. Simmer for 20 minutes.
04 - Add cabbage wedges on top of the other vegetables, cover, and cook for an additional 20–25 minutes until the cabbage is tender and the vegetables are cooked through.
05 - Remove the corned beef and let it rest for 10 minutes before slicing against the grain.
06 - Arrange sliced beef and vegetables on a large platter. Ladle some cooking broth over the top if desired. Serve hot.