So the idea is to shim between the lock plate and the tumbler - the shim holes being .002 or .003 larger than the axle so as not to bind it, and thick enough to strain the play out? I will check the bridle bearing hole. But even if it's one or both, you believe the strain won't hurt the tumbler, or move it out of place far enough to lose its purchase on the axle?

Two best shots get hindquarters
Next two-the fore
Fifth-the hide
Sixth digs the lead from the tree