There's the problem. When you change out the filter wool for new, you're tossing all the good bacteria that controls your ammonia. Same with the carbon bags, but you shouldn't even be using carbon bags on a regular basis unless you're in the process of removing medication.
Every time you replace the bags you are in essence starting the cycle all over again. Well, not quite that drastic because you have some ceramics and bio balls, but generally you're only supposed to rinse out the floss and replace gradually when it starts to fall apart.
I took a glance at your video, and I'm hoping you have euthanized the poor fish.
Also, are you planning to graduate to bigger and bigger tanks as the goldfish grow?
Im not doubting your advise, but that brings a question to my attention, If i'am tossing out the good bacteria that controls the ammonia, why does my ammonia test kit (manufactured by "API - Aquarium Pharmaceuticals", Mars Fishcare North America) tell me that the ammonia levels are constantly at 0 ppm or in the yellow color? And all of the other fish showing no signs of illness, i dont understand how the logic works. Im not trying to be a pain in the rear, just trying to learn more and find out what happened to this fish in particular, so if i have made a mistake somewhere, and i dont doubt that i have, i know where i went wrong and not to do it again.
Also, just to clarify, i dont need to use the carbon bag, any longer? Only when starting up and cycling a new tank? correct?
And, in regards to rinsing out the wool, i have been doing this process (replacing the wool media with new) since the first initial "start up" of my tank, and i havent had any trouble with this before.