Bike routing for drawn cycle paths


I am trying to figure out bike routing, since I’m pretty new in OSM and routing development. I have made some test queries to check bike routes, but I’m a bit confused. I’ve set “bike” encoder, but the route that I have got did not consider cycle paths (opencyclemaps). Does it mean that algorithm always preffer fastest way, not type of the paths?
If that is the case, what posibilities do I have to make routing preffer drawn bicycle paths?

Next time please paste the link. Your request was
If you check the data in JOSM you’ll see that the cycleway is a tagged as oneway, and even with bicycle=dismount, so the result is fine.

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Hey, sorry for the link.
Thanks, it looks like I have overlooked way of the path, it clears everything.