After researching, phoning a friend, and messing with Adobe After Effects, I was finally able to get rid of the reflection in the shot. We wanted to get rid of the reflection in order to not distract the audience with the camera and people and so that we could maintain verisimilitude. Figuring out After Effects was rather difficult, but the results were more subtle and believable than any edit that Premiere Pro could do. After effectively blurring out the people and camera, the next challenge was exporting. That was a long process because the simple export button that I was used to in Premiere did not turn the image into a video clip. So instead of sending it to export, I had to open a render tab and manually send the video to my hard drive. Its easier said than done. Eventually, I got the blurred video into my Premiere project and was able to overlay the original footage with the blurred. Unfortunately, a bit of egg falls onto the pan at the exact location of one of my blurs so halfway through the shot, a piece of egg seems to have a halo around it, which is not realistic. So I only put the blurred video over the original video until the egg was there to hide one of the blurs. The result was phenomenal; one of my finer moments.