I don't think there's any charge for parking if you stay at the hotel. However, you'd better inform the hotel of your plan in advance so that they can manage their parking lot and keep your car safe as well.
Please call them, when I was there I noticed a placard in the check in area with rates for parking there.
I dont believe the Hotel charges for parking, BUT I would definitely let the Concierge know what your plans our so it doesn't get towed by accident.
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