Hi,
https://www.openstreetmap.org/way/1330865230 does not look like a riding centre, it looks more like a riding arena. In OSM riding arenas are usually tagged leisure=pitch + sport=equestrian. Here is one that belongs to a riding_centre: https://www.openstreetmap.org/way/1105700382#map=17/41.136589/29.300907&layers=P ;
compare https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
