docs(nuxt): Remove Log-in notice from router page (#14379)

## DESCRIBE YOUR PR
Removing the Log-in notice from the router page as it is not needed here
and is misleading. I also rewrote the text a bit to include an example.

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## PRE-MERGE CHECKLIST

*Make sure you've checked the following before merging your changes:*

- [ ] Checked Vercel preview for correctness, including links
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Author: s1gr1d

docs/platforms/javascript/guides/nuxt/features/vue-router.mdx

@@ -3,7 +3,6 @@ title: Vue Router
 description: "Learn about Sentry's Vue Routing integration."
 ---
 
-Nuxt uses the `vue-router` under the hood, and our Nuxt SDK instruments your routing automatically, to parameterize transactions according to your routes.
-
-<SignInNote />
+Nuxt uses the `vue-router` under the hood, and the Sentry Nuxt SDK automatically instruments it to create parameterized transaction names for your page loads and navigations. For example, a navigation to `/users/123` will be captured as a transaction named `/users/:id`.
 
+This feature is enabled by default and requires no additional configuration.