how to use conformalized bayes for classification tasks

[pasq-cat]

Hi, i am trying to implement the support to conformalized bayes to conformalprediction.jl. By following your article A Gentle Introduction to Conformal Prediction and
Distribution-Free Uncertainty Quantification, I succeeded in creating a conformalized bayes regressor ( JuliaTrustworthyAI/ConformalPrediction.jl#125) but i am struggling to understand how to do the same for a classifier. For each new point x_pred, LaplaceRedux.jl gives the estimated MAP and the variance fvar. In the case of Bayes regressor i have computed the score as the negative of the probability of observing y_true, given the predicted mean and variance and assuming a gaussian distribution, but now i am not sure how to compute the score when i have discrete classes.