Place rack in top third of oven, add sheet pan + preheat oven to 475°; peel (or don't) potato, cut into ¼-½-inch sticks, mix with 2 tbsp oil + salt/pep; 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 1 tsp oil in skillet over med-high, add patties, season with salt/pep + cook undisturbed until bottoms brown, 2 min; flip over + cook 2-4 min until fully cooked

Remove from heat, add 1-2 tbsp cheese to each burger; cover until cheese melts, 1 min

Toast 2 buns until warm + golden

Add burgers to buns