But of course as always, that is only the half of it. To add the aircraft privileges to the sim only TRI certificate you need to do an AoC on the aircraft. Some NAAs say just go and do the test, but the UKCAA insists on training from an ATO. It normally consists of one touch and go then round to land, followed by the same again for the AoC. The same person can do both since the aircraft training is less than 25% of the TRI course. Like so many things EASA, it is fairly straightforward until you actually try to get hold of an aircraft and TRE with (a)(5) privileges; and when you do the bill is pretty eye-watering.
Good luck!