I am considering going to strata and looking to have a socket installed, but this might be a tough ask.
Installing electrical wiring and sockets is a “minor” alteration under NSW strata law, which means all you have to do is tell the committee what you are doing and get their approval which may not be unreasonably refused. If you can show that it will be done by a professional and it won’t irretrievably damage common property, they probably don’t have grounds for refusal.
Section 110 (linked above) says:
1) The owner of a lot in a strata scheme may carry out work for the purposes of minor renovations to common property in connection with the owner’s lot with the approval of the owners corporation given by resolution at a general meeting. A special resolution authorising the work is not required.
(2) The approval may be subject to reasonable conditions imposed by the owners corporation and cannot be unreasonably withheld by the owners corporation.
Many strata committees take the view that “approval of the owners corporation given by resolution at a general meeting” means that the committee can make that decision provided they have been delegated broad powers to do so at a general meeting.
I would talk to your strata manager or committee secretary before you start messing with the aircon power supply.