I am guessing that if you are wanting to contact the Strata Manager that you have issues with the common property rather than issues within your rental property.
If that is the case then why don’t you draft the email about the repairs and sent it to the Agent. Include the name and email address of the Strata Manager. Ask your Agent to forward it on to the Strata Manager immediately and ask that the Agent CC you into the email conversation? That way you will know that the email has been sent by the Agent to the Strata Manager.
If you are doing all of the ‘hard work’ for the Agent then there is no excuse for them not to act.