If I was living in the stone age I probably would of tried to bust the tooth out with a rock and stick if nobody else had any solutions.

Hooking up a vacuum pump should cause the contents of the cavity to dry out after a few minutes and dessicate. In the process the boiling liquid pushes out foreign matter. And then some low viscosity resin can be used to displace where the water was.

Might stop drilling being necessary whilst still separating bacteria from their energy source.

Seems obvious, but can't find any papers of this being tried.