The printheads have ink from the factory since running with air in them rapidly destroys them.
I recently purchased a 44 inch Z3100 PS which had sat unplugged for 3 or 4 years.
The ink cartridges were 10 to 14 years old with the exception of a couple of new carts with third party inks.
I replaced all ink cartridges, but before replacing the printheads I used a kit from LPS Computer to purge all the lines. I wasted about 10cc from each line to get the old ink out. If I had a 24inch model I might have only purged 5cc due to shorter lines. After purging each ink channel I would thoroughly clean the syringe and blunt needle with distilled water to prevent cross contamination.
The blunt needle in the kit is specifically modified to be pushed through the rubber plug the printheads penetrate to connect to the ink tube. The kit is for getting bubbles out of the lines which form when the rubber stoppers leak air. The seals in the kit keep the printhead from getting air in it since air in the printhead ejection component causes it to overhead and fail. Patience is required when purging the ink from the whole line. Trying to pull the syringe plunger too fast does not allow the ink cart time to deliver.
Here's a link. Great source for parts!
https://www.lpscomputer.com/collections/designjet-z3200-parts/products/upgraded-printhead-seals-and-purger-kit-for-t-and-z-models Before replacing the printheads I took the right cover off to use a torx driver (I think a T8 or T10) to manually open the service station cover and carefully clean the wipers and other surfaces where ink, especially matte black, tends to build up.
Upon replacing the heads test prints showed the Red/Matte Black cart was showing broken lines in the black channel. I replaced it with another new Red/Matte black head and all was well. BH accepted an exchange on the head. I always keep a spare Red/Matte black head on hand since that one failed the most often in my 13 years of use of a 24" z3100.
I had the whole thing apart, since it sat for so long, and cleaned it thoroughly. The printhead carriage bar should be cleaned and lubricated. I cleaned it with the oil which LPS has. Do not use any other oil. The HP sold and LPS has a correctly spec'd substitute for is a light synthetic oil.
In case you don't have it:
http://z3200.com/Belt_replacement_HP-Z3100_Printers-Z3200.htm