As I have described in the past, 3 in 1 blue can oil is appropriate for the common Sturmey Archer 3 speed bicycle hubs that take oil lubrication. Blue can is simply 20 weight motor oil. That type of oil is very close to the original Sturmey oil.
It is now available at Lowes stores. I previously had been unable to find it there, but now they stock it in at least some locations. This is a good development because it makes the oil easier to find.