Pat the beef chuck dry with paper towels and season evenly with the sea salt and black pepper.
Heat the extra virgin olive oil in a heavy-bottomed pot or Dutch oven over medium-high heat.
Sear the beef on all sides until a deep, golden-brown crust forms, then remove the meat and set it aside on a plate.
In the same pot, add the diced onion and sliced carrots, sautéing for 5 minutes until the vegetables begin to soften.
Add the minced garlic and cook for 1 minute until fragrant, being careful not to burn it.
Deglaze the pot by pouring in the red wine, using a wooden spoon to scrape up all the flavorful browned bits from the bottom.
Pour in the beef bone broth and return the seared beef to the pot along with the fresh thyme and rosemary sprigs.
Bring the liquid to a gentle simmer, then cover with a tight-fitting lid and reduce the heat to low.
Braise for 2 to 2.5 hours, or until the beef is completely fork-tender and the sauce has thickened.
Discard the herb sprigs and serve the beef hot with the braised vegetables and a spoonful of the reduction.