[Nuxt] Tracking Issue: Stable Release

[s1gr1d]

Description

Parent Tracking Issue: #9095

This is the tracking issue for the Stable Release of the Nuxt SDK. It includes small tasks that still need to be done before releasing the SDK for general access (GA).

Overall, the following things should work:

• running the dev mode without problems (but server-side monitoring can be limited in dev)
• building + running the project instruments client + server

Tasklist

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1. Nuxt 4 Support feat(nuxt): Add E2E test for Nuxt 4 preview #13799
2. [nuxt] Error in pnpm nuxt dev mode: Cannot use import statement outside a module #13917
   Package: nuxt +1
   
3. Nuxt: Compatibility with different Deployment Platforms #14029
   11 of 18
   +0
   
4. Nuxt: Make use of Pinia Plugin in Nuxt #14039
   +0
   
5. CLI Wizard feat(nuxt): Add nuxt wizard sentry-wizard#719
6. Fix problems in build output -> .git folder seems to have and impact on build output [Nuxt] Investigate issue with server-side not building correctly (import and import() are added) #14514
7. pnpm fix: [nuxt] Error when using setUser in @sentry/nuxt: Cannot use import statement outside a module #14221
8. pnpm fix: Importing directly from module entry-points is not allowed.
9. Docs: Wizard Instructions
10. Docs: Update Manual Setup
11. [Nuxt] Add warning in case http integration is not set up #14638
    Package: nuxt +1
    
12. Nuxt module does not take into account "srcDir" for client instrumentation #13330
    Package: nuxt +1