Editing/ removing harsh glare on a wine bottle

Hi All,

I am new to the world of product photography and learning new skills to use at my workplace. I am sent RAW phot files from the agency of our wine bottles. I have colour corrected and corrected the lens perspective. However I can't for the life of me figure out how to remove these harsh light reflections in a way that still looks natural.

Any advice would be much appreciated. Photoshop or Lightroom. Image attached

TIA, Hayley