A fishless cycle using ammonia from a bottle? Nitrate can get quite high during cycling, that's why we do a big water change at the end of the cycle, to remove the nitrate made from the ammonia.
When there are fish in the tank, the lowest nitrate can be by doing water changes is the same level as the tap water. If that's low enough, we should keep tank nitrate below 20 ppm. Live plants can also help keep nitrates from rising between water changes as they take up ammonia and they don't turn it into nitrite or nitrate.