Irish beef stew: In a medium-sized pot or deep skillet over medium-high heat, add olive oil. Once hot, add chuck roast and cook until browned on all sides (about 4 minutes).
Add onions, carrots, garlic, salt, pepper, thyme, rosemary, and bay leaf. Cook for an additional 5 minutes.
Pour in beef broth, cover, and simmer for 2-4 hours, until meat and vegetables are tender. (can transfer into a slow cooker if preferred)
Prepare the soda bread: Preheat your oven to 425°F (220°C). Place a large cast-iron skillet or oven-proof pan in the oven to preheat.
In a large mixing bowl, whisk together the flour, baking soda, and salt. Make a well in the center of the dry ingredients.
Pour the buttermilk into the well. Using a wooden spoon, mix until the dough comes together. It should be sticky but manageable.
Turn the dough out onto a floured surface. Gently knead it and shape it into a round loaf.
Carefully remove the hot skillet from the oven and sprinkle the bottom with some flour. Place the dough in the skillet.
Use a sharp knife to score a deep "X" into the top of the dough, which will help it cook through.
Transfer the skillet back to the oven and bake for about 15 minutes. Then reduce the oven temperature to 400°F (200°C) and bake for an additional 15 - 20 minutes or until the bread is golden and sounds hollow when tapped on the bottom.
Remove from the oven and let it cool slightly before slicing. Spread slices with butter.
Finish the stew: Remove the bay leaf. In a small bowl, stir softened butter and flour together until smooth. Stir this mixture into the stew. Add frozen peas and allow to warm for 2 - 3 minutes.
Mashed potatoes: Place potatoes in a saucepan, cover with water, and bring to a boil. Reduce heat, cover, and cook for 15-20 minutes or until tender. Drain.
Transfer potatoes to a bowl and mash. Add cream cheese, sour cream, milk, salt, garlic powder, and pepper. Beat until smooth. Top with chopped chives or herbs when serving.
Spritzer: Stir together all ingredients until well combined. Taste and adjust the lime or honey as needed. Serve over ice if desired.
Serve the Irish beef stew over mashed potatoes with soda bread and lime mint spritzer.