Current NSW Legislation in Strata Plans (Section 137B Strata Schemes Management Act 2015) does not allow for an Owners Corporation to reasonably refuse pets. I have seen OC’s go to NCAT who decided that 2 x dogs was not “reasonable” and they lost.
You must however apply for approval via your strata committee.
I have a picture of a goat on a third floor balcony. I think that one would be seen as unreasonble.
Community Title is quickly catching up with some further updates the the legislation expected this year.
It would not be reasonable to refuse a legitimate companion animal that was appropriately registered.