While I can't speak for the property owners regarding permission, I will say that none of the stores in this shopping center have overnight hours and the lot is widely open from 11:00 pm to 7:00 am. Also, there is one vacant store front on the East side of the Family Dollar and the parking row out in front of it would be the least like to interfere with shopping traffic.
Have no clue
I'd call and ask transfer on duty. They don't stay open all night, so it might be okay if you don't leave your truck.
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