It is not a drop/precipitation so much as it is the effect of cementation. As the gold goes into solution the copper ( or base metal) on the boards cement it back out. This is very fine powders so fine that the gold appears brown. Due to particle size it does not reflect light so we don’t see the yellow gold but only brown dust. This repeats itself until there are no base metals to cement the gold out, or there is mainly copper in solution to keep the gold from going into solution to begin with.
Most will decant the AP from the foils and wash with water until they are working with fairly clean foils/gold, then go to AR. Some will filter the AP and then add the filter and contents to AR. Each has its uses, experience will teach when one is preferred over the other.
AP or copper (ll) chloride is the more proper name, can be a powerful solution when working with the right materials. To the beginner it is the easiest solution to learn and very useful to the advanced users as well.
When your AP goes very dark, take a spoonful and add a drop of peroxide at a time and see if it turns green. If it turns green add oxygen to the solution. If no, add HCl. For real in-depth understanding look up the information that Lazersteve has about it. It is well worth the read.