01 - Heat olive oil in a large heavy-bottomed pot or Dutch oven over medium-high heat. Working in batches to avoid crowding, sear the beef cubes until deeply browned on all sides. Transfer the browned meat to a plate and set aside.
02 - Lower the heat to medium. In the same pot, add the onions, carrots, and celery. Sauté for about 5 minutes, stirring frequently and scraping up any fond from the bottom of the pot.
03 - Stir in the minced garlic and tomato paste. Cook for 2 minutes, stirring constantly, until the garlic is fragrant and the tomato paste has darkened slightly.
04 - Pour in the red wine, scraping the bottom of the pot to release any remaining browned bits. Let the wine reduce by half, approximately 5 minutes, to cook off the alcohol and concentrate the flavor.
05 - Return the seared beef to the pot along with any accumulated juices. Add the potatoes, beef stock, bay leaves, rosemary sprig, dried thyme, and season with salt and pepper. Stir to combine and bring the mixture to a gentle simmer.
06 - Cover the pot, reduce the heat to low, and braise for 2 hours. Stir occasionally to prevent sticking, until the beef is fork-tender and the sauce has thickened into a rich gravy.
07 - Remove and discard the bay leaves and rosemary sprig. Taste the sauce and adjust the seasoning with additional salt and pepper as needed. Ladle into warm bowls and serve alongside rustic bread, creamy polenta, or over mashed potatoes.