Pat the beef stew meat dry with paper towels and season evenly with sea salt and black pepper.
Heat the olive oil in a heavy-bottomed pot or Dutch oven over medium-high heat and sear the beef until deeply browned on all sides.
Remove the beef from the pot and set aside; add the diced onion, carrots, and celery to the remaining fat and sauté until softened.
Stir in the minced garlic and tomato paste, cooking for one minute until fragrant and the paste darkens slightly.
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, thyme, and rosemary sprigs, then bring to a gentle simmer.
Cover the pot with a tight-fitting lid and reduce heat to low, simmering for 90 minutes until the beef is tender.
Steam the fresh green beans during the last 5 minutes of cooking and serve the braised beef and vegetables hot with the rich reduction sauce poured over top.