Unable to answer "Who is allowed to park here? Parking may be free or paid." – Parking Lot – https://osm.org/way/441833724 via StreetComplete 63.1:

The parking seems to have been cut in two, a slim part asking the coast remaining a parking, the rest being currently under construction. The remaining parking strip is marked with Zamāna by Domes, so probably reserved for guests.

Attached photo(s):
https://streetcomplete.app/p/348023.jpg
https://streetcomplete.app/p/348024.jpg