If it’s on a balcony, it’s on common property and needs permission to be there. And how is it ducted? It has almost certainly cut through common property – either a wall or a window – and that should have been permitted via a common property by-law (which sheets responsibility for the work done to the owner).
This is pretty basic stuff and even if your strata manager isn’t a lawyer, she should know this. Also, an extra air-con compressor could be a significant drain on a small block’s power supply.
In your shoes I would send a letter to the strata committee asking how and when permission for this was granted, what work was done on common property to install it, when the necessry by-laws were registered and what the committee plans to do to rectify the situation. If they refuse to do anything, apply for mediation at Fair Trading with a view to taking action under section 232(2) failure to fulfill duties.
Oh, and I’m not a lawyer either – maybe ask your strata manager if they are aware of any of this and if not, why not.