Separate single item (post) template for every custom post type

Hej!

At first, I was intended to ask how to show different tag clouds for the different custom post types, but I think this question goes a little bit further.

So, I have several custom post types that uses tags. And tags for “posts” are much different from “projects”. When I edit Single post template, I can use Tag cloud block, where I can choose what set of tags should be shown.

But this template is the same either for posts and for projects!

Is there any possibility to have separate templates for posts and any custom post type item?

Thanks!