I have a question regarding the output for my mediation analysis. I am new to the zero-inflated models and mediation analysis. I apologize if my questions are elementary.

My mediation model is zero-inflated poisson (hereafter, zip) and my outcome model is logistic regression. The output is attached here.

predictor = disc_pFreq

mediator = disc_sFreq

outcome = letterV_occur

My understanding about the mediation is presented in a path diagram attached here.

Since the mediation model is zip, there are two sets of estimates generated: poisson (gamma 1 from the orange path) and logit (gamma 2 from the blue path). Then, in the outcome model, both the poisson and logit parts predict Y. Hence, there should be beta 1 from the orange path and beta 2 from the blue path. Please correct me if I am wrong.From the brms output, there is only one estimate for Y ~ M. My question is how to interpret the relationship between M and Y in brms. It seems that M is not decomposed into 2 parts (poisson and logit) when predicting Y. Is that so? Thank you very much for your help!