Pat the lean beef chuck 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.
Sear the beef in batches until a deep brown crust forms on all sides, then remove the meat and set it aside.
Add the mushrooms, sliced carrots, and pearl onions to the pot, sautéing until the vegetables are lightly browned.
Stir in the minced garlic and tomato paste, cooking for one minute until the paste is fragrant and slightly darkened.
Pour in the red wine to deglaze the pan, 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 bone broth, thyme sprig, and bay leaf.
Bring to a gentle simmer, then cover and cook on low heat for 90 minutes until the beef is fork-tender and the sauce is glossy.