I would engage the services of a local electrician and have them rewire the mirror to use these:-
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www.cromptonlamps.com
Unless you feel confident you can undertake the work safely yourself... and for the record, safely does not involve using choc block terminal strips and PVC tape. For this, safely involves decent wire connectors such as the Wago or Ideal lever connectors, or if the cabling is solid single strand copper, the equivalent push fit connectors (I would go with Wago's personally).