Unable to answer "How wide is the bicycle path here?" – Cycle Path – https://osm.org/way/62200799 via StreetComplete 63.0:

The road is currently a dead end street blocked by a few bollards and trees, leaving plenty of room for cyclists to pick a route through. However, the nearby bridge is set to be replaced by 2027, which may impact this area, though likely not to the extent of removing any route through.