Adding ammo carb was only the third mistake you made...
1. "vacuumed the 10 gallon tank for about 5 hours straight"
I'm not even sure how that's possible, or exactly what you mean, but....
A. Vacuuming a ten gallon correctly takes a couple minutes at most. I can vacuum a 500 gallon in about ten minutes.
B. Overcleaning is a common way to kill fish.
C. Needing to overclean means you overfeed the tank, which is another common way to kill fish.
2. A goldfish in a ten gallon is a bad idea. Two would be twice as bad an idea.
3. Unfortunately Ammo carb has a number of problems with its use and the manufacturers of all the various "Ammo products" don't really make it clear how they could be used without causing issues.
I recommend against ever using it and any ammonia problem can be solved by other methods or products better and safer.
Ammo products can stall the biologic processes in the tank, leading to longer toxic periods, and delay in establishing the correct bacterial balance in the filter materials. There are also certain water conditions that can lead to the Ammo suddenly releasing toxins into the water at a later time, causing poisoning of the fish.
Fortunately the chemicals, either Amquel or Prime, work better at temporarily detoxifying ammonia and don't cause these problems.
Note: overcleaning or replacing all the filter materials should also never be done, since this is where beneficial bacteria that reduce ammonia in the tank grow.
It is super normal for water to be cloudy after doing what you did. You upset whatever biology had developed and cloudiness is expected. Cloudiness is an indication of a problem, but the cloudiness itself doesn't harm fishies.
Any loose filter material like carbon, should be in a mesh bag or media basket. Any dust left after a good rinsing is ok.
What to do now.??
Keep learning basic aquarium care. I screwed up my first try at keeping a tank,,, so do most people.
Get rid of the Ammo Carb, but not any of the other filter materials.
Don't even clean them.!!!
Stop feeding, and only feed a few times a week, a tiny amount.
By the time the tank recovers you'll have read some more and be better prepared to do maintenance.