Aren't those spaces already allocated to the hotel though?
Technically yes, though some fans have already worked out that if you slip in the back entrance of the hotel, along the corridor past rooms 11-17 and then out past Reception loudly proclaiming "What a lovely day! I may go feed the ducks on the pond, then perhaps go for a brisk ramble along the South Downs Way" you'll probbaly get away with leaving your car there.