A 2000 watt should run the wall mount fine. We use a Champion 2000 for our 8000 btu wall mount though it doesn't like to do so in the "economy" mode until after it's started. Then I can switch it back to "economy" mode. I believe the 8000 btu spikes close to 1400 watts on startup and requires about 700-750 watts thereafter. I think 2013 and earlier models had a 5000 btu wall mount so the startup and running watts will be a bit less though I don't think I'd go any smaller on the generator than the 2000 watts.
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TT: 2019 ORV Timber Ridge 23DBS, Blue Ox SwayPro 15K/1500
TV: 2019 Ford F-250 XLT SuperCab LB, 6.2L, 4.30/e-locker, 4x4, 164" WB, RoadActive Suspension, 3216 payload
TV: 2014 RAM 1500 Big Horn CC (Traded in)
TT: 2015 Jay Flight SLX 195RB Baja Edition, Andersen No-Sway (Traded in)
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