I have a new non-stick pan and it's the first time in my entire life I've had this issue when frying an egg.
Whether I'm on 1/10 heat (Gas stove), 3/10, or 5/10 heat it does the same thing: It films over the skin of the egg with a strange texture, but doesn't actually stick to the pan.
In that video I managed to separate the film from the egg, but I'm wondering what I'm doing wrong to have that film develop in the first place? It's a firm-plastic texture, like a tupperware lid.
You have the heat too high and no surface liquid to transfer heat from pan to egg (like a fat) so the part of the egg that hits the pan first is denaturing super fast into a puck while the rest of the egg cooks slower. First, ditch the non-stick or be ready to spend a LOT more, second, cook your eggs with a spot of fat.