Divide beef into 4, 4-oz balls. Do not roll super smooth, just roughly shape into round forms.
Cut or tear 4 sheets of parchment or foil into about 5" squares.
Prepare all burger toppings and buns and set aside ready.
Heat a large flat-top grill pan, or large cast iron pan to medium heat. Once hot, brush lightly with a neutral oil. Place one portion of beef on pan at a time, place parchment square on top, place sturdy large spatula on top and immediately press down, using hand to push clean spatula, smashing beef to a thin patty, about 1/3" thick.
Remove parchment/foil and sprinkle seasoning on top. Repeat with remaining burgers. Let cook until golden browned on bottom and edges, about 2-3 minutes. Flip burgers, season remaining side, and immediate top with cheese. Cook for additional 1 minute or so.
Spread sauce on buns, place cooked burgers on prepared buns and serve.
Variations: feel free to use a 3-oz portion if you'd like them slightly smaller, or stack 2 burgers with cheese in the middle for a double-stack!