Begin by preparing your mise en place; cut the chuck pot roast into 1.5-inch cubes, dice the onions, slice the celery, cut carrots into 1-inch pieces, and chunk the red potatoes. In a large bowl or a sturdy bag, combine the all-purpose flour and black pepper. Add the beef cubes and toss or shake well to ensure each piece is evenly coated. This dredging not only helps to tenderize the meat but also creates a beautiful crust and thickens the stew.

Heat the vegetable oil in a large, heavy-bottomed pot or Dutch oven over medium-high heat. Sear the dredged beef in batches, ensuring not to overcrowd the pot, until deeply browned on all sides. This browning step adds a tremendous depth of flavor to your stew through the Maillard reaction. Once all the beef is seared, set it aside. Reduce the heat slightly and add the diced onions and sliced celery to the pot, scraping up any browned bits from the bottom. Sauté until softened, about 5-7 minutes, enhancing the foundational flavors of the stew.

Return all the seared beef to the pot with the sautéed aromatics. Pour in the vegetable juice, beef broth, and Worcestershire sauce. Stir in the dried thyme and add the bay leaf. Bring the mixture to a boil, then reduce the heat to low, cover, and let it simmer for 1 hour. This initial simmer allows the beef to start tenderizing and the flavors to meld beautifully. I always ensure the heat is low enough for a gentle simmer, just a few bubbles breaking the surface, to prevent the meat from becoming tough.

After the initial simmer, stir in the chunked potatoes and 1-inch carrot pieces. Bring the stew back to a gentle boil, then reduce the heat, cover, and continue to simmer for another 30-40 minutes, or until the potatoes and carrots are tender when pierced with a fork. This ensures all the vegetables cook through without becoming mushy too early. Just before serving, stir in the frozen peas and cook for only a few minutes until they are heated through. I like to add the peas at the very end to maintain their vibrant color and slight crispness.

Carefully remove and discard the bay leaf from the pot. Taste and adjust seasonings if necessary, adding a pinch more salt or pepper if desired. Serve the hearty beef stew warm, ensuring everyone gets a generous portion of the tender beef and vegetables.