Gascoigne, who received treatment for alcoholism in an American clinic earlier this year, has been bailed to appear before magistrates in Stevenage on August 5.
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The world's first ever 'hole in the wall' was installed in Enfield, north London, on June 27 1967.
America says it has "identified preparations" for an attack similar to that which killed at least 86, including 30 children, in April.