In Affinity Designer 1.6, how do I save an embedded image to disk?
Of course I want the original resolution of the image, and - if possible - the original EXIF data.
The feature you are looking for is not yet available in Affinity Designer (currently v1.7). There has been a discussion on the Serif forum about exporting embedded files, though.
For now there is no way to save the original file. As a workaround you can use Copy-and-Paste or use Export Persona > Export Options to batch export multiple images.