Shape the sausage into two broad thin square patties and cook in cast iron over medium heat for 4 to 5 minutes per side to 160°F.

Whisk the eggs with salt and pepper and cook as two thin folded rectangles.

Layer American cheese, sausage, egg and more cheese between bread slices.

Butter the outside faces and griddle over medium-low heat for 3 minutes per side until golden and melted.

Rest briefly and cut.