Place the pork chops in a dish; pour 2 cans of the root beer over the chops. Place in refrigerator to marinate at least 2 hours. Remove the pork chops from the root beer; season with salt and pepper.
Combine the remaining can of root beer, the beef stock, brown sugar, hot sauce, and Worcestershire sauce in a saucepan over medium heat; simmer the mixture until it reduces to about 3/4 cup. Set aside.
Preheat an outdoor grill for medium-high heat, and lightly oil the grate.
Grill the pork chops on the preheated grill until the no longer pink in the center, about 8 minutes per side. An instant-read thermometer inserted into the center should read 145 degrees F (63 degrees C). Brush the chops generously with the reduction sauce and continue cooking for about 2 minutes more per side. Remove from grill and brush with any remaining sauce. Season with salt to taste before serving.