Within-Subjects for categorical data

Hello, I am struggling to find a suitable statistic test for one of my studies:
I have 4 different conditions, and I want to test if my results differ on those conditions. When the dependent variable is continuous it is easy to find a statistical test; however when it is a categorical variable I am not finding the right one.

Some details that may help:
Number of users: 23
Categorical Variable: 4 different values (not ordinal.. but can be ordinal if that's the only way)

Any suggestions?

Thanks for the help in advance,
João Guerreiro