Hi Dean
Sorry to hear about your issue I have seen the effects of dodgy ink and I am surprised that your studio would be using cheap shite synthetics rather than the tried and trusted ink brands.
The explanation they have given is no excuse they should not have been using them in the first place without first testing the product either on themselves or following up on how good the ink is beforehand.
My advice is keep it clean and maybe head to dr’s for some antibiotics.
Good luck.
Take Care
Matthew