OK, I'm talking outta my butt here.

Violinists/fiddle player often have a hard rubber tube on a string where it passes over the bridge, or a tiny piece of rawhide on the groove in the bridge. I don't know whether it would work on a guitar or whether it would damp the tone, and even if you try it, I don't know how you'd know if it were effective in preventing further damage.

If no luthiers or cognoscenti show up, maybe you can take it to a local luthier for a free diagnosis and estimate.