If you go to edit the conditional without first changing the post preview it won't work. Even if you visited the template and there is already a post that is being previewed you will need to select another post so that it can trigger the custom field options and the taxonomy options to show up.
I've gone ahead and setup the example with the "stato-anagrafica" taxonomy on the first conditional block, you should now see it being active.
I've checked and your conditionals are working fine. The problem comes with the data return.
You are doing the conditionals on 2 different taxonomies but some of the posts that I check don't even have the second taxonomy selected on them so the conditionals won't work because none of the posts are passing the checks.
For you conditions to pass the post must meet both conditions given then you are using the AND logic instead of OR.