OK, so first of all, I suspect your track isn’t rock solid. This is complicated by the fact that the screen is ever so slightly curved, so that’s going to be a pain right there. However, I think with an improved track, a feathered shape, and using illumination modeling you might get better results. And make sure you make two cleanplates, one at the end and one at the beginning. That will also help to counteract the curve issue.
Step one: track the edges of your device but grab text where it is available inside your tracking shape to help in the track. Next, use adjust track to make sure the BG track is rock solid. Link a new shape covering the entire device to this track when the track is complete and make that your remove BG.
Step two: feather your ceiling anomaly shape by adding edge width to your remove shape.
Step three: make a cleanplate on the beginning and end frames. Check the “use cleanplates exclusively” checkbox.
Step four: use illumination modeling in the remove, try “linear” and if that doesn’t work, try “interpolate” to handle the reflection changes.
Try that and let me know. If that doesn’t work, try patching the screen with the insert module and curving the patch with the grid warper inside the insert module, then hand color correct as the lighting changes and composite with a feathered shape back over the top of your original shot.
Please let me know if you have any questions and I will be happy to help you.