Remove reflection glare from a surface

Have shot a video sequence with a guitar player...on green screen... have keyed everything, AE2020, pretty well but there are a few portions of the video, where the guitar turns a certain way, and a big glare or reflection occurs, which shows up as black spots on the final result. I have used the basic clip black and white and despot black settings, which corrects most of it, but some still remains in the final cut..

Any suggestions what I need to look at to remove that glare/reflection???

Thanks