lol, well its always been called the "qualifying week," never a 4th phase but the idea is correct. As soon as you have a day where 5ppm of ammonia has been dropped to "double zeros" (both ammonia and nitrite(NO2) test as zero ppm) in 12 hours or less since the ammonia was added then that marks the beginning of your "qualifying week." This was not necessarily ever meant to be a true week but just the idea that you watch it repeat those solid drops to zero, daily, for the better part of a week such that it gets you down to a weekend where you've planned to do the big water change and have lined up the availability of gettin all the fish in the first introduction of your stocking plan.
I believe its spelled out in RDD's reference fishless cycling article but of course you do a gravel-clean-water-change down to the gravel and refill with conditioned, roughly temperature matched tap water but DO NOT add ammonia or baking soda... and of course this is all done on the same day as introducing all the fish (via acclimation) to their new home. This also starts the clock on your new maintenance routine, which for most beginners is a weekly water-change-gravel-clean and a monthly filter clean, until they use nitrate(NO3) feedback and other signs to adjust their filter clean interval perhaps.
~~waterdrop~~