A Prison Service spokeswoman has said that prison officers are working to contain the incident which is isolated to one wing.
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Lynch was stopped in a motor cruiser after a high-speed chase with Border Force officials off of Littlehampton in November last year.
Thousands of pounds worth of damage has been caused at Arundel Court Primary Academy and Nursery, following a break-in.
The AA says it is calling for double the number of Emergency Refuge Areas.