Before I went to filing I would do a thorough cleaning of the contact points on the beam scale. They are usually very fool proof (it's all I use and have for decades).
It's possible something is loose in the 1/10th adjuster. Some have a weight that runs up and down a threaded rod. Make sure that rod is secured.
Clean the "V" and arms on the beam that set in it.
Make sure it is absolutely level and on a solid surface. It didn't loose a foot or pad underneath?
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