01 - Rinse corned beef brisket thoroughly under cold running water. Transfer to large stockpot or Dutch oven.
02 - Add spice packet, bay leaves, peppercorns, mustard seeds, onion quarters, garlic cloves, water, and beef broth to pot.
03 - Bring to boil over medium-high heat. Reduce to low, cover tightly, and simmer gently for 2 hours.
04 - Add potatoes and carrots to pot. Re-cover and continue simmering for 30 minutes.
05 - Add cabbage wedges to pot. Cover and cook for 20-30 minutes until vegetables are tender and beef is fork-tender.
06 - Remove corned beef from liquid. Let rest for 10 minutes, then slice against the grain into thin pieces.
07 - Arrange sliced beef on platter surrounded by vegetables. Ladle cooking broth over top if desired. Serve hot.