Hi, I've checked it out 

1) Roosta rand is already tagged correctly on OpenStreetMap. I'll remove your changes.

2) The search bar on this page

https://www.booking.com/hotel/ee/villa-hanson.et.html#map_opened-hotel_surroundings

does requests to Google's API, not OpenStreetMap.

3) On Google Maps this place is called "Elbiku rand" and is marked as a hiking area.

4) I suggest you select it on Google Maps and use "Suggest an edit" button at the bottom to change it's type, and, if "Roosta rand" is a more correct name, then a name too.

5) I don't know how much time will it take for Google to accept it, but also be aware that even after it's updated in Google Maps, booking.com may not update the beaches nearby data from Google automatically or fast enough.