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Let's assume worst case and the mt60-combi is running 100% of the time. 3.6A * 96 hours is 345.6 AH maximum use. I've heard they are designed to run under 50% duty cycle in a 90F environment but I couldn't track that information down today. With a bit of reserve that may allow you to run it with 200AH so a 250AH battery bank should do it.
PS, you can put the Engal under a tree too, and just run a cord from the truck to it. Just make sure that cord is made of a heavy gauge wire and you should be fine.
You could also use a solar panel. With a 100W panel I bet you would cover most if not all the MT60's power use. That assumes 5-6 hours full sun on the solar panel.
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