Hi,
The tag building=riding_hall you used for https://www.openstreetmap.org/way/1341595879 is for a special kind of building (see https://wiki.openstreetmap.org/wiki/Tag:building=riding_hall), but this area is probably not a building. If it is an outdoor riding area I would recommend tagging it with leisure=pitch + sport=equestrian (and without a building=* tag).