In a large Dutch oven, heat olive oil over medium-high heat. Season beef chuck with salt and pepper, then sear in batches for 4-5 minutes until golden.
In the same pot, add onion and garlic; sauté for about 5 minutes until translucent.
Add carrots and potatoes, cooking for 3-4 minutes to soften slightly.
Return beef to the pot, add red wine, and simmer for 5 minutes to reduce.
Stir in beef broth, tomato paste, thyme, rosemary, and bay leaves. Bring to a boil, then simmer for 1.5-2 hours until beef is tender.
Dumpling Preparation
Mix flour, baking powder, baking soda, and salt in a bowl. Cut in butter until crumbly.
Stir in cheddar cheese, parsley, chives, and gradually add buttermilk until just combined.
Drop spoonfuls of dumpling dough over the stew. Cover and cook for 15-20 minutes until fluffy.
Stir in peas and heat for an additional 5 minutes.
Notes
Store leftovers in an airtight container for up to 3 days. Freeze in portions for up to 3 months.