The Cuban Frita Burger

Name: The Cuban Frita Burger
Ingredients: 6 Ounces tomato paste; 1 Cup water; 1/2 Cup orange juice; 1 1/2 Teaspoon Spanish smoked paprika; 1 Teaspoon cumin; 2 Tablespoons brown sugar; 1/4 Cup vinegar; 1 Teaspoon salt; 2 Tablespoons sriracha (optional); 4 russet potatoes; Oil, for frying; Salt and pepper, to taste; 1 Pound ground beef; 1 Pound fresh-ground chorizo; 2 Tablespoons ketchup; 3/4 Teaspoons cumin; Pinch of salt and pepper; 6 Cuban buns, warmed; 6 slices Cheddar cheese; 6 fried eggs (optional)