Make the cranberry mayo: Stir 3 tablespoons mayonnaise and 1 tablespoons whole berry cranberry sauce together in a small bowl until fully combined and streak-free. This is your cranberry mayo.
Warm the turkey and melt the cheddar: Warm 4 ounces oven roasted turkey breast, thin sliced on a griddle or in a skillet for a minute or two until heated through. In the last 30 seconds, lay 2 ounces sharp cheddar cheese, sliced on top so it just starts to soften and melt into the turkey.
Warm the stuffing: Warm 0.5 cups cooked bread stuffing (mom's stuffing or homemade), warmed separately in a small pan or the microwave until heated through and slightly crisp at the edges.
Spread the cranberry mayo on the roll: Open 1 sesame seed hoagie roll, split and spread the cranberry mayo generously on both cut sides of the roll.
Build the base: Layer the warm turkey and melted cheddar into the roll, followed by the warm stuffing on top.
Add LTO and the SO/EVOO drizzle: Pile 0.5 cups shredded iceberg lettuce, 3 tomato, sliced, and 2 thin red onion slices on top of the stuffing. Sprinkle with 0.3 teaspoons kosher salt, 0.3 teaspoons dried oregano, and 0.5 teaspoons black pepper, cracked, then drizzle with 1 tablespoons extra virgin olive oil, for drizzling directly over the lettuce and tomato.
Close and slice: Close the sandwich, press down gently to compact the layers, and slice on a diagonal through the center to serve.