The last video wasn't too clear as to whether P4N flew back to the tray. I suspect that what actually happened was that she managed to cling to the sloping stonework to the side of the tray and what the camera saw was her arriving back.
There's no doubt this time that she is able to fly!!!
She ended up grounded in a garden on the other side of the Abbey a little later, and had to be rescued by the Vale Wildlife Hospital at Beckford the following morning.
When she was looked at by the vet, it turns out that she had received an injury and which left her blind in one eye. This meant that she will unable to be returned to the wild and hopefully will find somewhere to live as part of a captive breeding programme.