It's not dry vehicle weight that counts. GCWR must not be above 3500 kg for the basic car driver's license.
PS: Actually, the limits for the basic German driver's license (B) are: Max GVWR of 3500 kg. With trailer, if GTWR not above 750 kg, no GCWR restriction, otherwise max GCWR of 3500 kg.
There's an extended license (BE) for max GTWR of 3500 kg and no GCWR restriction. (Max GVWR still 3500 kg.)
PS: Actually, the limits for the basic German driver's license (B) are: Max GVWR of 3500 kg. With trailer, if GTWR not above 750 kg, no GCWR restriction, otherwise max GCWR of 3500 kg.
There's an extended license (BE) for max GTWR of 3500 kg and no GCWR restriction. (Max GVWR still 3500 kg.)
https://www.adac.de/verkehr/rund-um-den-fuehrerschein/klasse... (German text).