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 1 tsp oil in skillet over med-high, add patties, season with salt/pep + cook undisturbed until bottoms brown, about 2 min; flip patties over, add 1-2 tbsp cheese, cover + cook 2-4 min until fully cooked + melty

Toast 2 buns until warm + golden

Add burgers to buns + serve with fries