Step 1: Preheat and Season
Preheat your oven to 325°F (163°C). This low-and-slow temperature is ideal for braising. Pat the beef roast completely dry with paper towels. This is crucial for achieving a good sear. Rub the roast all over with salt and pepper, then dust lightly with the 2 tablespoons of flour.

Step 2: Sear for Flavor Foundation
Heat the olive oil in your Dutch oven over medium-high heat until shimmering. Carefully place the seasoned roast in the pot. Sear undisturbed for 4-5 minutes per side, including the ends, until a deep, brown crust forms. This essential sear for beef roast builds the foundational flavor for the entire dish. Transfer the seared roast to a plate.

Part 2: Building the Braising Liquid

Step 3: Sauté the Aromatics
In the same pot, add the chopped onion, carrots, and celery. Cook, stirring occasionally, for 5-7 minutes until the vegetables begin to soften and brown. Add the smashed garlic and cook for 1 more minute until fragrant.

Step 4: Deglaze with Wine
Pour in the red wine, scraping the bottom of the pot with a wooden spoon to release all the flavorful browned bits (the fond). Let it simmer for 2-3 minutes to reduce slightly and cook off the alcohol.

Step 5: Assemble for the Oven
Pour in the beef broth. Add the rosemary, thyme, and bay leaves. Return the seared beef roast to the pot, nestling it into the vegetables and liquid. The liquid should come about halfway up the sides of the roast.

Part 3: The Slow Braise

Step 6: Braise to Tenderness
Cover the pot with its lid and carefully transfer it to the preheated oven. Braise for 3 to 3 ½ hours. The slow-braised beef is done when it is fork-tender and easily pulls apart. An instant-read thermometer inserted into the thickest part should read at least 200°F (93°C) for shreddable tenderness.

Step 7: Rest the Meat
Once done, carefully remove the pot from the oven. Transfer the beef roast to a cutting board, tent loosely with foil, and let it rest for at least 20-30 minutes. This allows the juices to redistribute.

Part 4: Making the Glaze and Finishing

Step 8: Prepare the Cranberry Balsamic Glaze
While the beef rests, make the glaze. In a small saucepan, combine the cranberries, balsamic vinegar, brown sugar, honey, Dijon mustard, chopped rosemary, orange zest, and a pinch of salt. Bring to a simmer over medium heat. Cook for 8-10 minutes, stirring occasionally, until the cranberries have burst and the mixture has thickened to a syrupy consistency. For an ultra-smooth glaze, press it through a fine-mesh sieve. Otherwise, leave it rustic with the cranberry pieces.

Step 9: Strain and Reduce the Braising Juices (Optional)
For a refined sauce, strain the vegetables and herbs from the braising liquid in the Dutch oven. Skim off excess fat from the surface. You can then simmer the liquid over medium heat to reduce it by half for a concentrated rich beef jus.

Step 10: Glaze and Serve
Slice or pull the rested beef roast. Arrange it on a warm platter. Generously brush or spoon the warm cranberry balsamic glaze over the top of the meat. Serve with the reduced braising juices on the side.