I think your only issue (besides where to put it in the PUP) would be overloading your breaker. But that problem is no different than people running on their generator - they can run the AC or the microwave, but not both. Just a matter of coordinating your use.
Or as suggested above, run an extension to the power pole; you might need an adapter to plug in either the extension cord or your normal shore power cord; you'd need to have each plugged into a separate outlet and most power poles have at least a 20 amp and a 30 amp outlet; many also have a 50 amp outlet.
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1988 Coleman Sequoia - popup (1987-2009) - outlasted 3 Dodge Grand Caravans!
2012 Roo19 - hybrid (2012-2015)
2016 Mini Lite 2503S - tt (2015 - ???)
2011 Traverse LT, 3.6L, FWD
2009 Silverado 1500 Ext Cab, 5.3L, 4x4, 3.73
2016 Silverado 2500HD Dbl Cab, 6.0L 4x4, 4.10
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