A judge in Britain on Tuesday ruled against Prince Harry and other celebrities in a lawsuit that accused the publisher of The Daily Mail of targeting them with unlawful information gathering.

The High Court is about to hand down its ruling on the Duke of Sussex’s privacy claim against the publisher of the Daily Mail.

His visit has coincided with the result being published on Tuesday of a court case against Associated Newspapers, which he has brought with a number of well-known figures, including Sir Elton John, Si...