Purchasing DVC AP Question

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We will be arriving around 8 to 9pm Wednesday night and I would love to buy my DVC AP as soon as I can so we can get to the parks early the next day. Do you know what time the Kiosk closes at DTD (or a park for that matter)? Or, maybe it would be best to just count on buying it the next morning at a park? I was thinking that the lines might be longer at a park than at DTD.

Any advice would be great!

(we are staying at SSR)