You can have the same form published to three form libraries, and you can have the form submit to all three form libraries. Then, you can modify the view on the SharePoint form library to show only the promoted column(s) you wish to use for each library.
One thing to watch out for is whether Country-State-City is going to be a unique filename. If not, then it would be wise to come up with a more unique naming standard.
Good luck!