We fish VERY remote lakes all the time so a doctor is out of the question if you get a hook. The best way to handle a treble is to have very good (Knipex) cutters. Then you start trimming. If 2 hooks are buried, you must force one of them up through the skin so the barb is exposed. Then snip the barb end and shove it through. Then this technique in the video can be used for the single remaining hook. This technique moves the barb away from the spot it’s catching on, allowing it to slide free without too much “collateral damage”. Either way it gets a bit messy and I’ve seen guys get a bit woozy (not the guys with the hooks but onlookers).
The absolute worst though, is when you have a musky start thrashing, and embed a hook in you by this thrashing. Then, you are attached to a powerful 50+ inch fish that is now THRASHING while attached to you by a hook !!!!! Not a pleasant day !