(Concern) Tooth sensitivity after zirconia crown procedure🦷

After a crown zirconia procedure, I experience such severe tooth sensitivity to cold or hot water that I can't even brush my teeth.

I originally had some slight sensitivity, but after the procedure, it worsened significantly, and I'm worried whether the nerve treatment was done properly despite paying a lot. They said my nerve case is quite complicated.

What happens regarding the treatment costs if I visit the dentist again? I'm curious whether I will have to cover all expenses out of my own pocket or if there will be any compensation discussed.