In reply to Rolf.

No, I do not think you should try to use jittering to address complete separation in logistic regression. Read Derr (2019) to get a better understanding of the geometric interpretation of separation.

Jittering changes the data, so it is not appropriate for overcoming a degeneracy in a statistical analysis. (One exception: bootstrap resampling.) The degeneracy is telling you something about the data. It might be saying that the model does not fit the data or that the data are not a representative sample from the population.