prop shaft
You should be able to tighten the nuts / washers so that the shaft is a nice sliding fit on the bearings in the prop shaft. 3mm is too much. I would check that there is indeed a bearing at each end of the shaft as they can sometimes push out and 3 to 4mm is about the thickness of a bearing outside the shaft.
If you do not have the correct clearance water will run up the shaft, but worse the shaft will not have the benefit of a thrust bearing at each end allowing it to move away from the motor / coupling. Won't do either any good.
If this is a commercial item I would speak with the vendor and ask for their help. Could be that the washers supplied are too thin.
Good luck 😀
Live long and prosper
Dave