Recalling EE Lab procedures from decades ago

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If you are reading 0.5ohms between your probes in that picture, you need to check for corrosion in their connections.
Remove them from the meter and check that the tips are threaded tight. Ensure the jacks are clean and bright. Insert one probe and test ohms to the other connection. Then try with the other. This will ID which had a bad connection vs the meter off 0.
Once you have established your real "0", testing the coil leads when disconnected should reveal 2-3 ohms resistance. Actual 0 means something is shorted. Open would be infinite resistance.