You should be fine. Once the deadline passes you should get an email warning if your final payment isn't made within 14 days your reservation will be cancelled.
At least that's what happened to me when I had to travel for work unexpectedly and missed my due date.
They have given me another 2 weeks on final payment before, especially if you have a lot of it paid down. BUT YOU HAVE TO CALL THEM BEFORE THE DUE DATE!!!!!!!! If they say no, just ask to speak with guest services and explain
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