Add 1 tablespoon butter to a large skillet over medium heat.
Heat butter until melted and bubbly. Add garlic, onion, green pepper, and red pepper. Cook for 6 minutes, or until softened.
Transfer cooked vegetables to a small bowl and set aside.
Add remaining butter to the skillet. Once butter is melted and bubbly, add the potatoes, corned beef, salt, pepper, and smoked paprika. Stir to combine.
Using a spatula, evenly distribute the beef and potato mixture evenly over the bottom of the skillet.
Allow to cook over medium heat for 5 minutes, undisturbed. Adjust heat higher or lower if needed to allow the hash mixture to get crispy without burning.
After 5 minutes, turn the hash mixture over to brown the other side. Cook for 5 minutes longer.
Once the hash is browned, stir the vegetable mixture in. Cook for 1-2 minutes longer, allowing the vegetables to reheat.
Garnish with chopped green onions. Add a dash of hot sauce, if desired.
Serve topped with a fried egg, toast, and fresh fruit, if desired.