Something is obviously wrong.
To get a 2,2 Volt voltage drop using 60W bulb (equals to 5 Amps at 12 Volts) and having 1.5mm2 wire (square mm’s - I think this is what you meant as it's a German car) would mean 38 meters of wire! For a load of 2x60 Watts would mean still 19 meters of wire.
Having 2,6 meters long 1,5 mm2 wire the voltage drop would be about 0,3 Volts when having 2x60 Watt load. Even a relay or two in-line won’t change the situation significantly. I think this goes with what
@Mooncat observed earlier.
As you obviously measured and observed a significant voltage drop from battery “+” to the bulb “+”. Loose connection? Pinched wire?
If you are measuring voltage drops, to get full picture where the loss is you need to measure one also from battery “-“ to the bulb “-“. And to verify the measurements, one more across the bulb. The three values summed together equals battery voltage.