01 - Preheat oven to 300°F.
02 - Pat the beef chuck roast dry with paper towels. Season generously on all sides with kosher salt and freshly ground black pepper.
03 - Heat olive oil in a large Dutch oven over medium-high heat. Sear the roast on all sides until deeply browned, approximately 4–5 minutes per side. Transfer to a plate and set aside.
04 - In the same pot, add the quartered onion, carrot pieces, and celery chunks. Cook for 4–5 minutes until lightly browned. Stir in the smashed garlic and tomato paste; cook for 1 additional minute.
05 - Pour in the dry red wine, scraping the bottom of the pot to release all browned bits. Simmer for 2–3 minutes to reduce slightly.
06 - Return the seared roast to the pot. Add the beef broth, dried thyme, rosemary sprigs, and bay leaves. Bring to a gentle simmer, then cover with a tight-fitting lid.
07 - Transfer the covered pot to the preheated oven. Braise for 3 hours, or until the roast is fork-tender and the vegetables are soft.
08 - Remove from the oven and discard the bay leaves and rosemary stems. Slice or shred the beef and serve alongside the vegetables with pan juices spooned over the top.