Visited on February 27 and did a short charge with Swisscharge RFID.
There's only one charger outside. It has a dedicated spot, and parking seems to be free. There's no time limit posted.
The outdoor charger is indeed 25712, the one listed as 22kW on Swisscharge.
The charger support is not very stable. It feels like the entire contraption might fall down if you push the cable too far in.