The motion at the meeting must refer to a specific by-law because the notice has to refer to a specific by-law. Here is a copy of a “Notice to comply with a by-law” form I once used. It’s from the Office of Fair Trading. The Strata Manager could also send a letter on their own letterhead.
https://www.fairtrading.nsw.gov.au/__data/assets/pdf_file/0011/367841/Notice_to_comply.pdf
You could help the strata manager by having a friendly chat with the tenant and asking what their name is, what the dog’s name is etc.
Don’t be afraid to request a mediation session with Fair Trading. I’ve been through it. It took months. The other party refused several invitations to attend. After failure of mediation, we were allowed to go to NCAT. Our application was successful.