How is tooling for ammuntion brass related to a particular cartrige's parent case? I can't find an explanation for the entire process of cartriged develoment to mass production of brass under different manufacturers.
The question of tooling and the parent case, is one where what we call the "basic brass" can be common and the tooling shared between cartridges up to the point where the brass is "basic". The shoulder and neck are then formed according to the specifications of the cartridge toward the very end of the production process.
For an example, see the basic brass for sale on the Starline web site below and imagine that up to that point, the tooling will be the same no matter what that basic brass is destined to become.
Here is an example of what is called basic brass with the Grendel case head dimensions. It can become a number of different calibers from this point with simple shoulder and neck operations.
https://www.starlinebrass.com/grendel-basic
And here is the same concept with a 6.8 head destined for other wildcats.
https://www.starlinebrass.com/68-basic
And here is 223 head sized basic brass.
https://www.starlinebrass.com/223-basic
So, as you can see, at one time or another the basic brass is made available for the families of case head dimensions. From this basic brass, annealing, shoulder forming, and neck forming, are done in stages with simple dies common to reloading.
As far as the whole development to production process, it wouldn't be wise for a business to share their production planning, processes, or tooling designs would it? There is a great amount of time and money invested in these designs and it would be foolish to give that away when the value is very high.
You can get in idea of the whole production task from a publication written long ago that brushes on the steps without giving the store away. This was an NRA publication written by George (Jack) Frost on the whole process as it was when he worked in the industry. At an outline level, it hasn't changed much since then...
https://ia801603.us.archive.org/28/items/AmmunitionMakingNRAByG.Frost1990/Ammunition Making-NRA by G. Frost-(1990) _text.pdf