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I hope you are well. I will assist with your question today. Please note this is not a chat service so replies may be intermittent.
Do you have a copy of the lease please?
If you have a copy I can look into it properly for you as it does usually depend on the terms of the lease but generally speaking the lease would need to be assigned - the Council would need to be party to the Deed of Assignment and agree to it.
I hope this helps.