Can I reach Mrs Macquarie's Chair without walking through the Royal Botanical Garden?

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I'm planning to watch sunset at Mrs Macquarie's Chair with my wife and then walk to the Sydney Cove Oyster bar afterward. The Google map route suggests that the walk cuts through the Royal Botanical Garden, which I understand closes at 5 pm.
Would I be able to walk from Mrs Macquarie's Chair to the Sydney Cove Oyster after sunset, or because the Garden closed we have to take a longer detour? How long will the detour be?
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Is there parking at Mrs Macquarie Chair?
Re: Parking at Mrs Macquarie's Chair? Yes, there is parking on the road going to MMC - you won't have a problem finding a space on a Sunday morning and the weekend rate is less than weekdays. You may have to park before or after the point and walk to the view (buses have their own parking spots).How much is parking at Mrs Macquaries Chair?
There are over 200 metered parking spaces on Mrs Macquaries Road, each charged at the following rates: 8am to 8pm $4.40/hr or 8pm to 8am $2.20/hr.Hilary Duff - What Dreams Are Made Of (From The Lizzie McGuire Movie) 4k
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