Welcome to Fish Lore
The fish food takes a little while to break down into ammonia, so you probably need to give it more time.
It's going to be very hard to succeed with your tank.
I admire your wanting to cycle the tank without fish

It shows you really care about the health of your future fish.
While I understand your parent's thinking in starting off small, it's not a good idea when it comes to fish tanks.
There really aren't any fish that can live comfortably in a 1.66 gallon tank. The toxins from fish waste can build up quickly in such a small amount of water.
I don't agree with the suggestions of putting a Betta in the tank. Bettas are tropical and need a heater. In your size tank, it's hard to keep the water a consistant temperature.
The cheaper gold fish that you see are usually feeder fish.
Good luck
