Pasco Specialty makes one that works once the center stem has been pulled out...
Pasco P/N 7040 in the catalog I wish I could link below link below.

Silly rules make it difficult to help here...
There are better ways to fight spam
4 more posts and I'll stop grumbling...
Google pasco specialty
and click/ products / catalog / tools & Electrical C / it is in there
They are available at many plumbing supply companies...
Use the notched end to rotate the remaining part of the cartridge first then use the end with the button to pull the cartridge out.
This is a do or die tool!
Either the cartridge is coming out or the tool and cartridge are stuck and you are installing a new valve.