Solution:
To fix it using the .ajaxComplete(...)
function, see below the revised code:
jQuery( document ).ajaxComplete(function() {
jQuery('.add-pe').on('click', function() {
var dataId = jQuery(this).attr("data-id")
var title = jQuery(this).attr("title")
jQuery(".values-list").append('<li><input type="hidden" name="acf[field_61e58083d6d49][]" value="' + dataId + '"><span data-id="' + dataId + '" class="acf-rel-item">' + title + '<a href="#" class="acf-icon -minus small dark" data-name="remove_item"></a></span></li>');
jQuery('[id=' + dataId + ']').append('<p class="success"><i style="color:green;" class="fa fa-check-circle" aria-hidden="true"></i> Added to list- remember to submit it</p>')
jQuery(".success").fadeOut(9000);
});
});