Yes, they do have a Fast Track and it's even better than EDI. So you can either follow the usual path upstairs and follow the signs, or use the staircase marked for the prayer room and walk through the double doors at the top straight into the track concerned. At quiet times all it does is save some of the Tensa and perhaps a slightly faster starting point, at busy times it's dedicated. But it's clearly signed and GLA staff are totally aware that BA and oneworld status passengers can use these facilities. It would be a very rare day when GLA security takes 5 minutes.