Place rack in top third of oven, add sheet pan + preheat oven to 475°; peel (or don't peel!) potato, cut into ½-inch sticks, mix with 2 tbsp oil + salt/pep; carefully remove hot pan from oven, spread fries onto pan + bake 15 min; flip fries over, reduce heat to 425° + bake 10-15 min more until golden

Meanwhile, heat lightly oiled skillet over medium; cook burgers 10 min, flipping every 1-2 min to avoid burning until hot + fully cooked; remove from heat, top with 1 slice of cheese + cover until cheese melts, about 1 min

Toast 2 buns until warm + golden; add patties to buns; divide everything between plates—delish!