Combine 2 tablespoons flour, 2 teaspoons salt and all of the pepper in a gallon zip top bag. Seal and shake to combine. Add roast, press out most of the air and seal bag. Shake bag until beef is well coated. Use your fingers to press the flour onto the beef (if needed).
Warm olive oil in a large dutch oven (or oven-safe heavy bottom pot), over medium-high heat. Once you can feel warmth when holding your hand over the pot, add butter. Once butter is mostly melted, use tongs to remove roast from bag. Carefully add roast to dutch oven. Brown on both sides, about 3-4 minutes per side.
Meanwhile: slice onions, chop carrots and mince garlic.
Once roast is nicely seared with a good crust, remove it from the dutch oven and place it your upside down pot lid.
Add carrots, onion, garlic and 1 teaspoon salt to pot. Cook, stirring occasionally, until the onions become translucent. Add wine. Deglaze pan by scraping up the browned bits at the bottom of the pan. Add beef stock and stir to combine. Add 2 sprigs rosemary and 2 sprigs thyme. Return roast to the pot, ladle some of the cooking liquid over the top of the roast. Top with remaining rosemary and thyme. Cover and bring to a boil. Once boiling, place covered dutch-oven into the oven.
Bake for 3 hours. Remove dutch-oven from the oven. Take the roast out of the pan and place on a plate. Use a slotted spoon to remove vegetables to platter. Tent with foil while you prepare the gravy.
Remove rosemary and thyme sprigs from the pot. Place dutch oven over medium heat.
Combine 2 tablespoons flour with 1/4 cup water in a mason jar. Seal and shake until there are no more lumps. While stirring the liquid, pour flour mixture (called a slurry) into the pot. Stir to combine. Bring to a boil and cook until thickened. Taste for seasoning, add salt and pepper as necessary. Remove from heat.
Use 2 forks to pull the meat apart. Serve with gravy.
Enjoy!
Notes
This roast is excellent with merlot and also Cabernet Sauvignon.
You can add medium red potatoes, cut into 1/2's into the pot for the last hour.