There are two good articles on this site that deal with fish in cycles gone wild. I would suggest you read them. I am biased as I know the author.
https://www.fishforums.net/threads/rescuing-a-fish-in-cycle-gone-wild-part-i.433769/
https://www.fishforums.net/threads/rescuing-a-fish-in-cycle-gone-wild-part-il.433778/
I will give you my opinion here and it may not jibe with some of what has been suggested. Basically the goal is to get the tank cycled as fast as possible while protecting the fish.
1. It looks as if you now have 0 ammonia and that means you should not need to deal with it from the point of protecting fish frmm it doing harm. However, ammonia is what causes nitrite. So the fact that the ammonia is being handled but the nitrite is still not means this is what you should deal with rather than ammonia. However, you want to minimize excess ammonia. Also, not any total ammonia reading is cause for a big water change. (This is explained in the Part II article on dealing with fish in cyylies gone wild.)
2. In general water changes slow cycling. Therefore they should only be done when really needed. Using prime to protect the fish also means the cycle will be slowed. As noted, this chemical reaction will be gone in
24 hours. The below is from the SeaChem site. (The italics are added by me to emphasize the info.)
from the FAQ section here
https://www.seachem.com/prime.php
The above is partly correct. The bacteria can still use the ammonia but they cannot do so with the same efficiency as when the ammonia is in toxic form. So it does not stop the cycle, but it does slow it. What it can do is to make test results inaccurate.
3. The best way to deal with nitrite when fish are present is by adding chloride and this is done by adding small amounts of salt. (See the Rescuing article Part II)
4. Stability does not contain the bacteria you actually need. I would not use it. The nitrifycing bacteria do not form spores and Stability is a bottle of spores. If you want the proper bacteria use either Dr. Tim's One and Only or Tetra Safe Start. (They are essentially the same product in terms the of the nirtifyers they contain.)
5. Unless they are fairly young, most fish can go days without food and be OK. Reduce feeding to every other day or every 3rd day until the problem is fixed. Light feeding means less waste in terms of fish poop and uneaten food.
6. Do not over vacuum the substrate, surface cleaning is fine but the bacteria live in the top inch of substrate in an unplanted bottom. The bacteria or photosensitive so they will be just below the surface. They can also be on the undersides of decor and even on plants where they are shaded.
7. Stress weakens fish and their ability to mount immune defenses, This opens them to attack from infections, parasites etc. Water changes tend to stress fish. The newer they are to the tank, the more true this is, So this also argues for minimizing water changes that may not yet be needed.
I still believe your best bet is to read the two Rescue articles