01 - Preheat oven to 325°F. Pat the beef chuck roast dry with paper towels and season all sides generously with kosher salt and freshly ground black pepper.
02 - Heat olive oil in a large Dutch oven over medium-high heat. Sear the roast on all sides until deeply browned, about 3–4 minutes per side. Remove from pot and set aside.
03 - Add onions, carrots, and celery to the Dutch oven. Sauté for 6–8 minutes until softened and golden. Add minced garlic and cook for 1 minute until fragrant.
04 - Stir in tomato paste and cook for 1 minute. Pour in red wine, scraping up any browned bits from the bottom. Simmer for 2–3 minutes to reduce slightly.
05 - Add beef broth, bay leaves, thyme, rosemary, and return the roast with any accumulated juices to the pot. Arrange halved potatoes around the roast if using. Bring to a simmer, cover, and transfer to oven.
06 - Braise for 3 hours, uncovering once or twice to baste the meat with the cooking liquid. The beef is done when it's fork-tender and easily shreds.
07 - Remove and discard bay leaves and herb sprigs. Let the roast rest for 10 minutes before slicing or shredding. Serve with vegetables and ladle braising sauce over the top.