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