Reluctor Gap

318 Stock Engine.
When setting the reluctor gap I noticed that if I push/pull the Distributor shaft it has a small amount of play.
The reluctor does not touch the pickup.
What side to side play is acceptable?
I have zero play at the bottom side to side or up/down.
I just replaced my Intermediate shaft and bushing (Yes it was worn with a lot of play it it). So I was checking for any other potential issues.
If the top of the distributor is not allowed to have side to side play, can a bushing be replaced or is a new distributor needed?
Dkamp