How much "play" is normal in a Sturmey Archer 3 speed hub? I inherited a bike with a Sturmey Archer 3 speed hub (Sturmey Archer AW, from 1984).

I am very familiar with free-wheels and cassete hubs, but this is fairly new to me, although I did some research on the internet, I couldn't find anywhere that had a hub spinning.

In my case, I am probably going to disassemble it (I have seen some videos, it won't be easy but is doable).

Finally, the question:

I noticed that there is a (IMO) fairly big amount of "play" (is this the term?) when I rotate the cog counter-clockwise (direction of coasting) and then rotating clockwise (drive).

I would say it is about 2 cm of "play".

Is the amount shown here too much, or is this normal?
Animated gif showing the hub play
I still can't find my working three speed hub, but from memory, and from trying a working five speed, then as far as I can tell from the gif, that's normal.