motor_vehicle=designated is probably not correct based on the access on adjacent service roads.  "Designated" is like "yes" but connecting roads have "no": 'A preferred or designated route for the class of traffic specified by the tag key, such as foot=designated, in general this means that there is a (explicit) sign saying something like "pedestrians allowed", or a pedestrian icon.'

https://www.openstreetmap.org/way/1149934309/history

https://wiki.openstreetmap.org/wiki/Key:access#List_of_possible_values