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Statistics: Mediation analysis with categorical DVs

I have two mediation models I need to conduct a mediation analysis for: one has a continuous IV, a continuous moderator and a categorical DV (2 categories), the other has a categorical DV with 3 categories. How do I do this using SPSS? Normally I do mediation analyses using PROCESS, but I understand it does not work for categorical DVs, so I guess I need to use logistic regression, but how should it exactly work with a continuous mediator?

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