Hi,
You've mixed up the tags.
https://www.openstreetmap.org/way/1446227934 should be tagged as riding centre (leisure=horse_riding) and
https://www.openstreetmap.org/way/1446227924 and
https://www.openstreetmap.org/way/1446227919 should be tagged as riding arenas (leisure=pitch + sport=equestrian)
Compare
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/1298935719#map=17/-16.942621/145.746131&layers=P (example)