Can you charge with a Generator and solar panels at the same time?

Hello, everyone!

I'm taking my Yeti 1400 to Burning Man with a 4500 W generator for my AC and a Boulder 200 Briefcase.

I will only have the generator on during the hottest part of the day to power my AC but I would love to quick charge the Yeti while I'm using my AC.

Will it damage the Yeti 1400 if I keep my solar panel and the 4500 Watt generator charging at the same time?

thank you.

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