Hi,
I doubt that https://www.openstreetmap.org/way/1361529906 is a horseback riding center. This area is too small. If it is a small riding arena it should be tagged leisure=pitch + sport=equestrian. But perhaps it is only a paddock or something else.
Examples fpr horseback riding centers:
https://www.openstreetmap.org/way/467658081/history#map=15/40.54968/-111.94362&layers=P
https://www.openstreetmap.org/way/568052124#map=17/37.397701/-122.246144&layers=P
See also:
https://wiki.openstreetmap.org/wiki/How_to_map