yep - only way if it does not come out with the magnet is to remove the clutch basket and clutch, remove the square metal and pull it out to the left or push it through with something else.
Once you have done that, take a look at the square block that gets pushed by the rods against the clutch to actually separate it for wear. if it is worn or massively bent, it's best to replace it.
Don't use normal grease on the actuation rods. they are normally meant to be oiled by the oil-steam/oil of the gearbox. doesn't alway work very good and I am not sure what the japs have done differently to avoid that problem, but maybe some very low friction bearing grease (just a dip!) on the ball between the rods could help - not sure.
Also check the rods. If the ball has welded itself to one of the rods, you need to remove any material from that end of the rod and potentially have to harden it again. Maybe best to replace them with new ones. OCT or Wolfgang should be able to sort you out.