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, approximately 3-4 minutes per side. Remove meat from pot and set aside.
03 - Add onions, carrots, and celery to the rendered fat in the pot. Sauté for 6-8 minutes until softened and lightly golden. Add minced garlic and cook for 1 minute until fragrant.
04 - Stir in tomato paste and cook for 1 minute to deepen flavor. Pour in red wine while scraping up any browned bits from the bottom of the pot. Simmer for 2-3 minutes to reduce slightly.
05 - Add beef broth, bay leaves, thyme sprigs, and rosemary sprigs. Return the roast along with any accumulated juices back to the pot. Arrange halved potatoes around the roast if using. Bring to a gentle simmer, cover tightly with lid.
06 - Transfer covered pot to preheated oven. Braise for 3 hours until meat is fork-tender, basting once or twice during cooking with the braising liquid.
07 - Remove Dutch oven from oven and discard herb sprigs and bay leaves. Let roast rest for 10 minutes before slicing or shredding. Serve with vegetables and spoon braising sauce over the top.