I don't know much about this stuff. If it happened to my SD I'd...

Check the GP relay box to see it the fuse is blown. If it is there's probably an issue with a GP grounding due to a swollen tip touching something. If it's not the fuse then check the wire connections in the box to make sure they are tight and clean.

The bulb is suspect though I've never seen one burnt. Removing and reinstalling the bulb holder will likely remedy a contract issue between the cluster and the bulb holder.

The last thing I'd investigate would be the wiring between the GP relay and the bulb. Check all grounds first.

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84 300SD
85 380SE
83 528e
95 318ic