By BRIAN MELLEY (Associated Press) LONDON (AP) — The publisher of British tabloid the Daily Mirror acknowledged and apologized Wednesday for unlawfully gathering information about Prince Harry, saying at the outset of a trial over one of his phone hacking lawsuits that the prince was due “appropriate compensation.” The admission of snooping for a 2004 article headlined “Sex on the beach with Harry” may have marked a tiny victory for the Duke of Sussex, but the story in question was not one of the nearly 150 that Harry claimed resulted from unlawful news gathering between 1995 and 2011. The trial that opened in London is Harry’s biggest test yet in his legal battle against the British press.