Prep and Sear (10 minutes): Pat beef completely dry with paper towels and season generously with salt and pepper. Heat Dutch oven over medium-high heat until smoking. Add olive oil and sear beef cubes in batches, about 3-4 minutes per side until golden brown. Don't overcrowd the pan.
Build Aromatics (6 minutes): Remove seared beef and set aside. In the same pot, add diced onions and cook until translucent and fragrant, about 4-5 minutes. Add minced garlic and cook for another 30 seconds until aromatic.
Add Tomato Paste (2 minutes): Stir in tomato paste and cook for 1 minute, stirring constantly to prevent burning. This caramelizes the paste and eliminates any metallic taste.
Create Roux (3 minutes): Sprinkle flour over the vegetable mixture and stir constantly for 2 minutes to cook out the raw flour taste and create a light roux.
Deglaze and Simmer (5 minutes): Gradually add beef broth while whisking continuously to prevent lumps. Scrape up any browned bits from the bottom of the pot.
Slow Cook (45 minutes): Return seared beef to the pot along with fresh herb sprigs. Bring mixture to a gentle simmer, then reduce heat to low. Cover and cook for 45 minutes, stirring occasionally.
Add Vegetables (15 minutes): Add carrots and potatoes to the pot. Continue cooking covered for another 15 minutes until vegetables are fork-tender and beef is falling apart.
Final Seasoning (2 minutes): Remove herb sprigs and taste for seasoning. Adjust salt and pepper as needed. The stew should be well-seasoned and flavorful.
Rest and Serve (5 minutes): Let the stew rest off heat for 5 minutes to allow flavors to meld and consistency to thicken slightly before serving.