If you want to try this at home, it might be safer to give your cat a hard boiled egg instead of a raw egg. For starters, it's going to be less messy to clean up a hard boiled egg if your cat doesn't protect the egg and decides to take a more destructive route.
A hard boiled egg is also better for your cat if they end up breaking the egg open and eating it. The American Veterinary Medical Association "discourages the feeding to cats and dogs of any animal-source protein that has not first been subjected to a process to eliminate pathogens because of the risk of illness to cats and dogs as well as humans." That includes eggs.
Giving a cat some cooked egg is fine, although you shouldn't overdo it. "Feed just a tiny amount because you don't want to put too many calories in your cat's diet," said Purina Senior Nutritionist Jan Dempsey on the Purina website. That means you'll want to keep a close eye on your cat if you do give them an egg. Although, let's be real, you'll probably be filming the whole thing anyway.