Hi,
I am not sure what https://www.openstreetmap.org/way/1319176229 and https://www.openstreetmap.org/way/1319176230 and https://www.openstreetmap.org/way/1319176231 are, but riding arenas are usually tagged leisure=pitch + sport=equestrian; compare
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/957687694
https://www.openstreetmap.org/way/514669333