Hi, I'm not really familiar with the Ultimate Member plugin, so I just downloaded it to try this out. At first glance, it appears that they have their own custom field system integrated into their registration forms, so out of the box I don't see a way to connect those registration form inputs to Types custom address fields. This will likely require some custom code solution, based on the Ultimate Member form submission API (I'm not sure if this is available, you would need to ask their support team).
On the user profile page automatically generated by UM, I don't see any way to customize the content displayed. I may just be overlooking it, so you would need to do some more research. If it's possible to modify the content shown on the User Profile page, you could use Types field shortcodes to display information from a User's profile on the User Profile page, or our Types field API. More information about that here: https://wp-types.com/documentation/customizing-sites-using-php/functions/#address
Click the orange "+ More" button to show some examples of shortcodes and PHP solutions.
Let me know if you're able to use an Ultimate Member API to interact with their registration form submissions, or if you can find out more about customizing the User Profile page, and I'll take another look.