Pc Terry, a father of two from Burnley, Lancashire, was shot as the unit practised in a disused factory in Newton Heath on June 9 2008.
An inquest held at Manchester Coroner's Court in March 2010 found Pc Terry was unlawfully killed.
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The move comes amid a boycott of the paper in Liverpool due to its controversial coverage of the 1989 Hillsborough disaster.
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