### Mediator model

Call:
glm(formula = bili_bin ~ trt, family = binomial(link = "logit"), 
    data = data)

Coefficients:
            Estimate Std. Error z value Pr(>|z|)
(Intercept)  -0.2256     0.4620  -0.488    0.625
trt          -0.1108     0.2914  -0.380    0.704

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 264.30  on 195  degrees of freedom
Residual deviance: 264.15  on 194  degrees of freedom
AIC: 268.15

Number of Fisher Scoring iterations: 4

### Outcome model

Call:
glm(formula = spiders ~ trt + bili_bin, family = poisson(link = "log"), 
    data = data)

Coefficients:
            Estimate Std. Error z value Pr(>|z|)    
(Intercept) -1.75416    0.33415  -5.250 1.52e-07 ***
trt         -0.01091    0.18155  -0.060    0.952    
bili_bin     0.89055    0.21228   4.195 2.73e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 198.14  on 275  degrees of freedom
Residual deviance: 183.54  on 273  degrees of freedom
AIC: 349.54

Number of Fisher Scoring iterations: 6

### Mediation analysis 
             est         se           Z         p      lower     upper
cde  -0.01309265 0.21786138 -0.06009626 0.9520790 -0.4400931 0.4139078
pnde -0.01309265 0.21786138 -0.06009626 0.9520790 -0.4400931 0.4139078
tnie -0.02911581 0.07679704 -0.37912670 0.7045938 -0.1796352 0.1214036
tnde -0.01309265 0.21786138 -0.06009626 0.9520790 -0.4400931 0.4139078
pnie -0.02911581 0.07679704 -0.37912670 0.7045938 -0.1796352 0.1214036
te   -0.04220846 0.23079016 -0.18288675 0.8548869 -0.4945489 0.4101319
pm    0.68528211 3.65715072  0.18738142 0.8513616 -6.4826016 7.8531658
      exp(est) exp(lower) exp(upper)
cde  0.9869927  0.6439765   1.512718
pnde 0.9869927  0.6439765   1.512718
tnie 0.9713040  0.8355749   1.129081
tnde 0.9869927  0.6439765   1.512718
pnie 0.9713040  0.8355749   1.129081
te   0.9586699  0.6098460   1.507017
pm          NA         NA         NA

Evaluated at:
avar: trt
 a1 (intervened value of avar) = 2.3
 a0 (reference value of avar)  = 1.1
mvar: bili_bin
 m_cde (intervend value of mvar for cde) = 1.4
cvar: 
 c_cond (covariate vector value) = 

Note that effect estimates do not vary over m_cde and c_cond values when interaction = FALSE.