Preheat grill for medium-high heat.
In a large bowl combine ground meat with minced garlic. Form into 4-5 equal sized oblong patties (about the same length as the deli buns). Season patties with salt and black pepper and place on the grill.
Grill meat for 6-8 minutes per side or until internal temperature (in the thickest part of patty reaches 165 degrees F. Remove from heat, place onto a cutting board or baking tray and lightly tent with aluminum foil.
Meanwhile, combine mayonnaise with barbecue sauce and cider vinegar. You can transfer to a condiment bottle for easier use.
Place cooked burger patties onto deli buns, top with warmed sliced brisket, drizzle with sauce, finish off with a nice helping of coleslaw, and dig in!