I just drove through there and captured Mapillary imagery. Park Lake Road does not have bicycle lanes. Those are merely "fog lines". Inaccurately mapping it could get someone injured, with little recourse... as it is not a bicycle lane.
https://www.mapillary.com/app/?pKey=2141113966272148&focus=photo&lat=42.786646884107995&lng=-84.43308667631197&z=1.5

In Michigan, a legal bicycle lane must be:
 - 3 foot wide, when the speed limit is under 45.
 - 4 foot wide, when the speed limit is 45 or more.
 - marked as a bicycle lane by signs, lane markings or both.

You could measure and the shoulder widths. Without a measurement, the shoulder tag implies a vehicle could safely pull of the road.
https://wiki.openstreetmap.org/wiki/Key:shoulder