Fird used chemicals to mask the nitrAtes.
All of the chemicals that you've added caused ammonia, nitrIte, and nitrAte to get stuck onto them and causing your test kit to believe you have zero of all of these. The chemicals altered the chemical make up of the ammonia, nitrIte, and nitrAte so to consider your tank cycled is technically wrong.
Cycling a tank is to grow a large bacterial colony in your tank that would convert ammonia to nitrIte and then to nitrAte. The added chemicals made the ammonia, nitrIte, and nitrAte change into a different form and that is why the test kit is saying 0 for all of them. Your tank doesn't actually have the bacteria needed to maintain the tank. If you want to always be dependent on chemicals then you can say your cycled, but the chances of you crashing your tank is much much higher than normal.
Personally, I would change out almost 100% of the water and start over. Sure the wait is dreadful, but having your tank crash and hundreds of dollars wasted is much more dreadful.