Monte Cristo

Place bread slices on a cutting board and top 2 slices each with 2 ounces of the shredded Gruyère. Top each with ham, then the remaining 4 ounces of cheese. Spread mustard on remaining bread slices, then spread jam over mustard. Assemble sandwiches, pressing down slightly to adhere.

Beat eggs, half-and-half, vanilla, cinnamon, and nutmeg in a shallow bowl. Dip sandwiches into egg mixture, coating them completely.

Melt 2 tablespoons of the butter in a skillet over medium. Add 1 sandwich, cook until golden brown on each side, about 3 minutes per side. Transfer cooked sandwich to a cutting board. Wipe out skillet, then melt the remaining 2 tablespoons of butter in skillet. Cook second sandwich, then transfer to cutting board. Slice each sandwich in half. Sprinkle with powdered sugar and serve with additional jam.