The photo of the panel shows a 35 amps main breaker.
I did a quick search and was able to find an RV ready generator that would work.
If you put ohm's law to work; 32 amps * 240 volts = 7680 watts. That is the minimum continuous running wattage generator that would work. Yes, it has to be running watts. EV chargers create A LOT of heat. Anything less would certainly cause a trip.
To be clear, I'm talking about the Mobile Charger with the 240 volt adapter. You can use the 120 volt adapter with any 15 amp outlet, it just charges very slowly.