Preheat your oven to 325°F (165°C). Pat the beef brisket dry with paper towels and season both sides generously with salt and black pepper.

Heat the vegetable oil in a large oven-safe Dutch oven or heavy pot over medium-high heat. Sear the brisket until it is deeply browned on both sides, about 6 to 8 minutes per side. Remove the meat and set it aside on a plate.

In the same pot, add the sliced onions. Cook them over medium heat, stirring occasionally, until they are soft and golden brown, about 10 to 12 minutes.

Add the carrots, celery, and garlic to the onions. Cook for another 5 minutes until the vegetables begin to soften.

Stir in the tomato paste and cook for 2 minutes to deepen its flavor.

Pour in the pomegranate juice and balsamic vinegar, using a wooden spoon to scrape up any browned bits from the bottom of the pot.

Stir in the beef stock and honey. Return the brisket to the pot, along with any juices that collected on the plate.

Place the thyme, rosemary, and bay leaves around the meat. The liquid should come about halfway up the side of the beef.

Cover the pot with a tight-fitting lid. Place it in the oven and braise for 3 to 4 hours, or until the meat is very tender when pierced with a fork.

Once finished, remove the brisket from the pot and let it rest on a cutting board for at least 20 minutes.

Slice the brisket against the grain into thin slices. Arrange the slices on a platter and pour the warm sauce and vegetables over the top before serving.