Hi,
https://www.openstreetmap.org/way/1301634980 does not look like a riding centre, it looks like an outdoor riding arena. In OSM these are usually tagged leisure=pitch + sport=equestrian, example https://www.openstreetmap.org/way/1008770819
See also
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)