Nominal Mediation - Is it possible to test for mediation with a nominal dependent?

Hi everyone,

I'm currently working on my thesis which involves mediation using nominal independents and dependents, as well as scale mediators. I understand that binary mediation is possible, using logit or probit models. However, is it possible to test for mediation when your dependent involves multiple categorical options? Here is my model:

X (binary) > M (multiple scales) > Y (nominal: 14 outcomes)

I will convert Y into a binary variable to test for robustness, but keeping the categories separate will allow for more analysis and conclusions.

Thanks for the help!