Factory standard action is 6/64" at the bass E and 4/64" at the treble e. You are higher than that, so some remedial "action" is called for -- pun intended. First wait two weeks for your guitar to acclimate to your environment. It is possible that the top is swollen a bit from humidity during transit or in its new home. A swollen top means higher action. GS Mini comes with medium gauge strings to help keep the proper playing feel with such a short scale. You might want to move to light gauge. Many people do. But there is limited value in doing a set up and then changing to a different gauge of string.
Sanding the saddle is the only option for a glued dovetail neck joint, but Taylor's NT neck is better than that. As the original owner, the warranty will cover a set up at a local Taylor-certified tech, back to factory specs. The proper method involves removing the neck and changing shims to get the optimum neck angle. This is an easy 15-minute job for the shop. Then -- and only then -- if you still want the action to be lower it is possible to
carefully sand a bit off the bottom of the saddle to get another 64th or so. I always start with a whole new saddle and work on it, preserving the original as a fall back position (voice of experience here). Candidly, if your tech's first reaction is to sand the saddle

then find someone else. Danger Will Robinson!!