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Extension lead for van has a maximum of 3150 watts fully unwound but 720watts coiled on reel for a 13amp extension lead which would start a house fire as the lead would melt for sure if running 3kw immersion heater and that's without using a battery charger.
Another thought. Charging the van battery and running a 3kW immersion at the same time would add up to about 50 amps running through your house wiring. Not insignificant and worth checking with the sparky fitting the EV charger.Vin