Not sure what kind. I first thought it was a nurse shark, but now I'm not sure.
I can understand your uncertainty. I stop actioned your video numerous times. It appears the tail could have been damaged sometime in the past. If so, that makes the tail unusable for thrasher confirmation. The tail is very long, but rounded and split on the end. A thresher shark is near pointed on the end and much longer. The nurse shark tail, though long, is more rounded with a split in the tail forming a near double point. The lower lobe on the tail is also very short like the fish in your video. It's just my personal opinion, but I believe you caught a nurse shark.
While a Nurse Shark does not have large,sharp teeth, they will bite if agitated and can hold on for some time and will still cause bruising. They are still for the most part not dangerous.