Of course soon enough the play will be back.
So, what to do about it? IDK.
If your yoke has cup-stops and straps, I guess theres nothing that can be successfully done,short of shimming the stops.But I fear the shims will fly out, as there is nothing to keep them in and the straps do not have a whole lot of clamping force.
If the cup-stopping is done by snaprings, I suppose you could inspect them for flatness, and thickness, and try to hunt up some thicker ones.I doubt you'll find any tho.....