Roast Beef Hash

Yukon Gold potatoes, peeled and cut into 1/2-inch cubes (about 5 cups)

olive oil, divided

medium-size yellow onions, thinly sliced (about 3 cups)

large red bell pepper, thinly sliced (about 1 1/4 cups)

large carrot, peeled and finely chopped (about 3/4 cup)

garlic cloves, chopped

kosher salt, divided

black pepper, divided

coarsely chopped drained cooked chuck roast (from Oven-Braised Pot Roast)

large eggs, poached

chopped fresh chives