Making brisket is very involved but the steps in this beef brisket recipe are fairly simple to follow. This cut needs a little attention both before and after it is placed on the grill since a lot has to happen to achieve an exceptional result. Firstly, the rub has a curing effect on the exterior of the meat and pulls out some exterior moisture. Furthermore, the flavors from that rub develop as the beef cooks while also forming a crust. Even more importantly, the fat has to render, and connective tissues must break down to achieve tender meat, but the result is well worth it. This brisket recipe features a simple rub consisting of dark brown sugar, cumin, paprika and cayenne which is complemented beautifully by the sharp distinctive flavor imparted by the use of mesquite wood.