Hi Martin,
sorry, but I: don't have any knowledge of Luminar software, I was hoping you had something adobe based, DPP or Capture1
Either way, just see if there is a way you can select the bird and put it on a new layer so it can be sharpened without affecting the background,
Sharpening should only be done after resizing the shot for the intended use - ie 1024 px wide for TP
Mike