A new BEV has embedded carbon of around 7,000kg (some 2,000kg more than the ICE equivalent), or about 15 years worth of driving on the above figures.
BUT the OP's fuel usage may well be much higher than 5 litres per 100km- the last pure ICE I had was around 6 litres per 100km in ideal conditions, and 6,000km suggests a lot of short low speed runs which kill your fuel efficiency, So 7.5 litres per 100km may be more realistic for the OP. That brings the annual carbon emissions up to 1,170 and the annual carbon savings from changing to a BEV to 870kg (slow runs are more efficient for a BEV, the opposite to an ICE) which brings the carbon break-even time from changing to a brand new BEV all the way down from 15 to 8 years.