As JRTJH already stated, starting or running anything with an inductive load on marginal power is risky. It's really hard on the windings, and will shorten its life.
The same power limitation can be caused by using an extension cord that has too low an ampacity, or is too long.
It may be inconvenient, but If I were using a small generator like that, I'd use only one appliance at a time.
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