I would not expect Way: Armii Krajowej (297817277) | OpenStreetMap to be marked as oneway:bicycle=no just because its associated cycleway/footway also traffic in both directions.
The same for Way: Śląska (294972662) | OpenStreetMap (though I added dual_carriageway:bicycle=yes to mark that this pair of oneway bicycle routes forms two-way road for bicycles)
In general, I would not expect it to be possible to parse bicycle routing network based solely on tags on car roads without processing cycleways and footways with allowing cycling.
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