Trim any excess fat from the beef chuck roast and season all sides with the sea salt and black pepper.
Heat the olive oil in a heavy-bottomed pot or Dutch oven over medium-high heat.
Sear the beef for 3-4 minutes per side until a deep golden-brown crust forms, then remove and set aside.
Lower the heat to medium and add the diced onion, carrots, and celery, sautéing until the vegetables are softened and translucent.
Stir in the minced garlic and tomato paste, cooking for 1 minute until fragrant.
Pour in the red wine to deglaze the pot, using a wooden spoon to scrape up all the flavorful browned bits from the bottom.
Return the beef to the pot and pour in the beef bone broth until the meat is partially submerged.
Add the thyme and rosemary sprigs, cover with a tight-fitting lid, and reduce heat to low.
Simmer gently for 2.5 to 3 hours, or until the beef pulls apart easily with a fork.
Discard the herb stems before serving the beef with the reduced braising liquid and vegetables.