01 - Preheat oven to 300°F.
02 - Pat the beef chuck roast dry with paper towels. Season generously with kosher salt and freshly ground black pepper on all sides.
03 - In a large Dutch oven or oven-safe heavy pot, heat olive oil over medium-high heat. Sear the roast on all sides until deeply browned, about 4–5 minutes per side. Transfer the roast to a plate and set aside.
04 - Add the quartered onion, carrot pieces, and celery chunks to the same pot. Cook for 4–5 minutes until the vegetables are lightly browned. Add the smashed garlic and tomato paste, stirring for 1 minute until fragrant.
05 - Pour in the dry red wine and scrape the bottom of the pot to deglaze, lifting any browned bits. Simmer for 2–3 minutes to reduce slightly.
06 - Return the seared roast to the pot. Add the beef broth, dried thyme, fresh rosemary sprigs, and bay leaves. Bring to a simmer, then cover with a tight-fitting lid.
07 - Transfer the covered Dutch oven to the preheated oven and cook 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 herb stems. Slice or shred the beef and serve with the braised vegetables and pan juices spooned over the top.