I tried to measure the play with a dial gauge but someone has borrowed my proper kit so I just guessed on another 10thou. I installed it and there was just a smidgeon of play and the castellations did not line up with the hole so I tightened it up another 1/16 turn and the play disappeared and even there was a suspicion of tightness so I left it at that with a tiny trace of preload.
Of course the castellation still did not line up but I cannot see the nut coming loose!