Unable to answer "What height limit is indicated below the bridge?" – Damsgårdsveien (Tertiary Road) – https://osm.org/way/466757340 via StreetComplete 58.2:

There is no bridge.
But a garage with a sign.

Attached photo(s):
https://westnordost.de/p/232882.jpg
https://westnordost.de/p/232883.jpg