The Southbank Centre has unveiled plans to transform the complex around the Queen Elizabeth Hall, the Purcell Room and the Hayward Gallery.
The proposals include the refurbishment of the existing 1960s buildings and the creation of a new glass pavilion and a central foyer.
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The film had formed part of a commemoration to the Choucair family, three generations of whom died in the fire.
John Nolan, who was found with cigarettes and two lighters, suffered burns on 65% of his body after being alight for around six minutes.
Known as Pily she died in January, seven months after the disaster, having suffered a stroke.