Any perthians know the wait time to get a diagnosis as an adult without going private nowadays?

Title. I’m 18 and just started uni, learning the hard way that maybe everyone in my life other than my conservative family was right and it is worth checking if I have ADHD. Would like to get tested and medicated if diagnosis goes through so I’d be looking for a psychiatrist to lead it (if that changes wait times at all). I live south of the river and don’t really like the idea of spending $540/hr to get diagnosed privately while still needing to wait multiple weeks so I’m wondering what the alternative actually looks like. Would love to hear from anyone diagnosed recently or still waiting that knows better than I what to expect if I go down the public health road so I can weigh up my options.