Adjusted some details.

I changed it back to segregated=no, because the traffic signs are for a non-segregated one. https://wiki.openstreetmap.org/wiki/Key:segregated#Tagging

The surface "segregation" here is one of those visually-misleading ones - it's cute, but legally irrelevant. It's also impractical as 2 bikes cannot pass each other solely on the (whichever side is the) designated part.