Edit:
I am now planning to run an inverter from the battery which says 40Ah on it to a 400w pure sine wave inverter, with peak power 800w. https://www.canadiantire.ca/en/pdp/motomaster-eliminator-400w-pure-sine-power-inverter-0112047p.0112047.html?gclid=CjwKCAjwi9-HBhACEiwAPzUhHCXsctIOh0fzWV6Xm9rxsTSZkAzlWs5CVjhcYpD2P2_j51BLSX6CoxoCOksQAvD_BwE&gclsrc=aw.ds#store=606
I am mainly going to use it for my laptop that draws 65 watts I believe, maybe 90 watts.
The mechanic is telling me to get 8 gauge wire, I am seeing as thick as 4 gauge when doing 800w / 12v = 66.7a and referring to a chart online.
He is also saying put an inline fuse that is slightly above that 66.7 number. What is correct?
My inverters are rated up to 175 watts, I have one in each socket.
The sockets were just replaced because one time I guess I tried to pull too much by using an extension cord/power bar thing with a thick cable, laptop, extra monitor, vape battery charger all plugged into it and it melted some plastic parts in the socket.
I received a firm warning from the dealer saying, "This is an extreme fire hazard to use an extension cord as the 12V is only rated for 12V appliances like specialized mini-fridges, air pumps, etc".
So, I am plugging my laptop now directly into the inverter and then using the other socket's inverter for my extra monitor and vape battery charger.
The head mechanic explained to me, "With such a thick gauge cable in my extension cord trying to pull so much power, that caused the socket to overheat and melt." I am not an electrician but that does not make sense. The appliances like laptop, monitor, battery charger plugged into my extension cord/power bar are what is trying to pull too much power I thought so the way I have it now, should be safe? Also, just plugging the extension cord/power bar into the inverter without any appliances should also be safe regardless of the thickness of the cable and wiring in it.
Can someone clarify?
Note: I can put my car in Utility Mode when parked which then draws power directly from the large Lithium-Ion battery that is used for driving and that is what I normally do.