For the free service, they will use mineral oil; syn only if you willing to pay for it. And yes, syn will be FOC when you sign up for the NPMP package. Only upgrade available at the moment is Shogun, which some bros here say not good. They will discount accordingly if you bring your own, but do not think it is worth the trouble as discount quite minimal.
Personally decided to go with TCM as they are the authorised agent, I can put the fault on them should anything happen to the car. Some also recommend that you can go to the outside workshop for minor servicing but to go back to TCM for the major ones (ie change brakes, etc) as TCM should be using OEM parts.