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

Title. Live just south of the river, just started uni and am falling behind due to struggling with executive function, sitting still, focusing for long periods of time, all the classics. Don’t like the $540/hr for a private psychiatrist to do the diagnosis so am hoping to get an idea of what the wait time will look like through Medicare so I can work out just how much time that money is worth and decide if it’s worth it to me. Definitely would like to be medicated so would need to go through a psychiatrist rather than a psychologist with the extra qualifications. Anyone currently going through or just recently finished going through that can help give me an idea would be greatly appreciated