cartridge replacement

I’m attempting to replace a mixer tap cartridge, but it has disintegrated during removal. I’m left with the plastic outer body stuck in the tap. Any ideas how I might be able to remove this? I’m not sure if I’m supposed to turn it, or pull it. Neither seems to be working. Thank you!

Hi all, The cold water was only dribbling out of the bathroom basin tap. I isolated the water and took the handles and spout off. I checked the cold cartridge, it visually looked fine but I swapped it with the hot one just in case, put everything back together but still the same issue...

Hansgrohe Axor Starck Basin Mixer (part number 10313000) is dripping water from the spout. it's has been fitted over 20 years ago and I suspect that cartridge need to be replaced. The problem is that I do not seem to be able to figure out which cartridge and how to remove the old one. If...