This isn't something I have run across before. Do you mean the shortcuts for starting Adagio, or something else? What version of Windows is this?
What if you re-created a shortcut to an Adagio program - does this have the same scenario?
If you right-click on the shortcut and choose Properties, there should be a 'Change Icon' button, that loads the Adagio icon picture - does this work for you? This is built into the program, so it wouldn't be a matter of a missing file.
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Softrak Tech Support