Does anyone have some tips on how to remove blotches in window panes due to polarization?

I know it wasn’t the wisest thing to do, but I didn’t have a chance to change filters or lenses.
I was walking through an airport’s departure hall and took a picture of the apron through a large glass window pane. Because I still had my polarization filter on the lens, blotches appeared throughout the pictures, in addition to light reflecting from within the hall. I tried using the removal tool (reflections), but the result was very disappointing. There was hardly a difference noticeable. Was this just too much for the app?
If anyone has a good idea on how to eliminate the blotches efficiently and effectively, I’m sure interested. 
I am on macOS 26.3.1 using Photoshop (27.4.0), Lightroom (15.2.1), and Camera Raw (18.2.2).
Thanks for any help.
Tom