Tags for designated cycleway https://www.openstreetmap.org/way/1150870038 should be used if this was a legally declared cycle track with proper signages https://wiki.openstreetmap.org/wiki/Tag:bicycle=designated

This is unlikely to be the case to my knowledge. highway=path should be used for such trails.

If you have difficulties cleaning it up, I am happy to help with correcting them in a few days.

