In a medium bowl, whisk together the eggs, cream or milk, Old Bay seasoning, salt, and black pepper. Set aside.
Heat the oil or clarified butter in a large skillet over medium-high heat.
Add the chopped potatoes and cook until browned and crispy on all sides.
Add the cooked beef to the pan, then pour in the egg mixture. Reduce heat to low and cook gently until the eggs are partially set.
Sprinkle the shredded cheese evenly over the eggs and potatoes.
Cover the skillet with a lid and cook over low heat until the cheese is melted and the eggs are fully cooked.
Serve immediately with sour cream and fresh chives on top.