I am no refrigerator repair person, but this sounds like a serious repair, that the average North American homeowner would have done only by a professional. Since the cost of the repair was 40% of the cost of a new fridge, depending upon the age of the fridge, personally, I would probably just get a new one. With that you get a warranty and more up to date technology. Perhaps in Russia the decision would be different.
Having said that, perhaps you are just searching on YT for the wrong phrase? Could it be the "evaporator coil" rather than "plate"? There seem to be lots of videos on that.
If you want to really immerse yourself in English, try phoning the manufacturer. Assuming you can get through to someone, it will be a good language learning experience I would think. Much like the first time I saw a doctor who only spoke French.
Hope that helps.