Rinse and pat dry the oxtail. Trim excess skin and fat, season with salt and pepper.
Combine salt, pepper, and 1/4 cup flour in a large bowl. Add oxtail and toss to coat.
Heat olive oil in a pan over medium-high heat. Sear oxtail for 3-5 minutes per side until browned.
Remove oxtail and drain excess drippings. Sauté onions, carrots, and celery in the same pan.
Add tomato paste and diced tomatoes, bring to a light bubble. Add bay leaves and herbs.
Pour in red wine, red wine vinegar, and beef stock. Bring to a rolling boil.
Reduce heat to a simmer. Add oxtail and bay leaves. Cover and cook for about 2 and a half hours, stirring every 30 minutes.
When the meat is falling off the bone, add remaining 1/4 cup of flour in 2 tablespoon increments to avoid clumping.
Heat butter in a large pan. Add shallots when it begins to brown. Add chives and cooked noodles, some lemon juice, salt, and pepper. Stir to combine.
Lastly, remove the bone and place the meat in the center of a large plate of noodles. Ladle stew over it. Serve and eat!