Pat the beef chuck dry with paper towels and season all sides with sea salt and black pepper.
Heat the olive oil in a heavy-bottomed Dutch oven over medium-high heat and sear the beef until a deep brown crust forms on all sides.
Remove the beef from the pot and set aside, then add the diced onion, carrots, and celery to the remaining fat, sautéing until the vegetables are slightly softened.
Stir in the minced garlic and tomato paste, cooking for about 60 seconds until the paste turns a dark brick red and smells fragrant.
Pour in the dry 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 along with the beef broth, fresh thyme, and fresh rosemary sprigs.
Bring to a gentle simmer, then cover tightly and reduce heat to low, cooking for 90 minutes until the beef is fork-tender and the sauce is glossy.