The rest of the ways on both sides of that bridge (i.e. leading to the bridge and from the bridge) seems to be highway=via_ferrata, if I’m seeing that cables/supports correctly, so I’d mark that accordingly.
Then I’d add a point on (or very near) that bridge as tourism=viewpoint, with supplemental tags as noted there (description / direction / ele / …)
(You can also add man_made=bridge and its associated tags if you really feel the need to mark the area occupied by it, but especially for such small structures I do not think it is very useful use of your time, unless you have important information to add in, e.g. bridge:support / bridge:structure / architect…)