Out of curiosity, why do you want to use 10C in a private browser tab/window? Are you not trusting Jason or do you want keep other sites from tracking what you are doing in other windows/tabs?

While the admin panel can be used for blurbing, it has limited capabilities. Maybe that should be mentioned more clearly on that page. And Cappuccino apparently uses some browser features the private mode blocks, rendering it inpractical for your purposes.