0👍
I would recommend that you write a minimal page component (perhaps a module for something more elaborate) into which you’d send any references to other elements on the page you want to track lifecycle events for.
Install the Tealium scripts on your page as you’d normally do (async script in your <body> tags and if you’re using it, the synchronous script in your <head> tags). That has nothing to do with the Vue runtime, though you might have to edit your root template to install these.
Per the Tealium documentation you cited, you’d want to disable the automatic page tracking functionality. Instead, if you installed the Tealium async script properly, the utag object will be available on your window. After the new page has been mounted, kick off a call to utag.view() to trigger any pageview tags to execute.