Mateusz Konieczny
https://www.openstreetmap.org/way/227911771#map=18/41.00728/28.89759

motor_vehicle=designated means that it is designated for use by all motor vehicles, including cars

According to https://github.com/Project-OSRM/osrm-backend/issues/6115 this is incorrect

Likely motor_vehicle=private would be correct