Thanks for providing the photos!
According to the Switzerland local tagging scheme [1] and your photos I tagged https://www.openstreetmap.org/way/1094428007 and https://www.openstreetmap.org/way/39383273 as `highway=footway` with `bicycle=designated` and `psv=yes` (services publics authorise). I also removed the redundant `oneway=no`

[1]: https://wiki.openstreetmap.org/wiki/Switzerland/Map_Features#Cycle_and_Foot_Ways