Unable to answer "Who is allowed to park here? Parking may be free or paid." – Parking Lot – https://osm.org/way/1134249322 via StreetComplete 58.2:

The map seems wrong here, the south corner of this area is not a private parking lot, it's the usual city one.

Attached photo(s):
https://westnordost.de/p/231116.jpg