The photograph shows the King and the Queen Consort at the Braemar Royal Highland Gathering.
The image was taken by award-winning photographer Sam Hussein on 3 September, five days before the Queen died.
The Royal Family is braced for the release of the second half of Harry and Meghan’s Netflix documentary on Thursday.
The first three episodes of the series contained little to provoke a response from Buckingham Palace, but the latest trailer teasing the next three instalments has hinted at criticism towards the royal set-up and the British media.
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In one scene, the Duke of Sussex says: “They were happy to lie to protect my brother… They were never willing to tell the truth to protect us.”
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He also speaks of “institutional gaslighting”, while Meghan says: “I wasn’t being thrown to the wolves. I was being fed to the wolves.”
The docuseries racked up more viewing time on the streaming service than any other documentary during its first week, Netflix has said.
The first three episodes recorded 81.55 million viewing hours after their release on the US streaming platform last Thursday, while more than 28 million households watched at least part of the series.
It was the most watched English-language series during the week in the UK.
The series was the second-most watched English-language show globally, after the Addams family drama Wednesday.
In what could be a further headache for the King and Prince William, Omid Scobie, a journalist who cowrote a biography of the Duke and Duchess of Sussex, announced plans for a new book about the Royal Family today.
Named Endgame: Inside the Monarchy’s Fight for Survival, the book, which will be released next August, promises to look at the “family dysfunction, distrust and draconian practices threatening its very future”.