01 - Preheat oven to 325°F.
02 - Pat the chuck roast dry with paper towels and season all sides generously with kosher salt and black pepper.
03 - Heat olive oil in a large Dutch oven over medium-high heat. Sear the roast on all sides until a deep golden-brown crust forms, about 3 to 4 minutes per side. Remove the roast and set aside on a plate.
04 - In the same Dutch oven, add the sliced onions, carrot pieces, and celery. Sauté for 5 minutes until slightly softened. Stir in the smashed garlic and tomato paste, cooking for 1 minute until fragrant.
05 - Pour in the dry red wine to deglaze, scraping up all the browned bits from the bottom of the pot. Let the wine reduce by half, about 2 to 3 minutes.
06 - Return the seared roast to the pot. Arrange the quartered potatoes around the meat, then tuck in the dried thyme, rosemary, and bay leaves. Pour the beef broth in so it reaches halfway up the sides of the roast.
07 - Bring the liquid to a gentle simmer on the stovetop, then cover tightly with the lid. Transfer the Dutch oven to the preheated oven and braise for 2.5 to 3 hours, until the roast is fork-tender and pulls apart easily.
08 - Carefully remove the roast and vegetables from the pot. Discard the bay leaves. Skim excess fat from the pan juices if desired. Slice or shred the beef and serve alongside the vegetables, spooning pan juices over the top.