Are you referring to your truck having a 12 volt DC to 120 Volt AC inverter “Socket” that has a capacity of 240 watts? If so, you have not given any information regarding what you are trying to charge or “make work”. What specifically is the accessory socket you are referring to? If you are trying to run your EB150 charger and it outputs 200 watts, it will consume more than 200 watts to convert the voltages and that is why your 240 volt outlet is not working. The AC50 charger is 90 watts, but that is no better than normal DC car charging.
I think the Jackery 1000 AC charger is 165 watts max. Try plugging it into your EB150 and your truck, it should work. If so that is an option.