Will you take a WAG?
You have one unwired bar and two bars adjacent to the unwired bar. I will call these the adjacent bars.
Start with the third wire that has continuity to all others.
Measure the resistance from the open wire to each of the adjacent bars.
The adjacent bar showing the lower resistance will be wired correctly. Call this adjacent #1
The adjacent bar showing the higher resistance will be missing wire. Call this adjacent #2
The third wire will connect to the open commutator bar.
The two wires with continuity will connect to the open bar and to adjacent #2
Polarity matters. Inject a small current between the commutator bars about 90 degrees away from the open bar.
Check the polarity with a compass.
Or I may have made false assumptions and the solution is something else.
As a double check, one adjacent bar should have only one wire connected instead of two.
Good luck.
Bill
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"Why not the best?"
Jimmy Carter