Work has started on the demolition of the former ICI headquarters in Billingham on Teesside.
Stockton Council recently won a High Court battle to have Billingham House pulled down.
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The pair defrauded Durham County Council out of nearly £100,000 but were given suspended sentences.
Gascoigne is alleged to have sent abusive tweets, text messages and telephone calls to Amanda Thomas in March this year.
The Black Cats are attempting to find their seventh permanent boss since the Irishman's departure.