You can get to Eastgate Street from Queensway Island. Follow the diversion signs. You enter using the emergency access road (not shown on the map below) driving the wrong way into it.
You then drive the wrong way up Eastgate Street until you reach the Police Station and then you end up driving the right way even though you haven't changed direction!
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Thanks, I think I've seen buses go in that road. It's where the police cars sometimes sit?