test: add authjs tests and bump dependencies

[phoenix-ru]

🔗 Linked issue

N/A

❓ Type of change

• 📖 Documentation (updates to the documentation, readme or JSdoc annotations)
• 🐞 Bug fix (a non-breaking change that fixes an issue)
• 👌 Enhancement (improving an existing functionality like performance)
• ✨ New feature (a non-breaking change that adds functionality)
• 🧹 Chore (updates to the build process or auxiliary tools and libraries)
• ⚠️ Breaking change (fix or feature that would cause existing functionality to change)

📚 Description

This PR adds testing to authjs provider using Playwright, similar to what was done for local provider.

📝 Checklist

• I have linked an issue or discussion.
• I have added tests (if possible).
• I have updated the documentation accordingly.

[pkg-pr-new]

Open in StackBlitz

npm i https://pkg.pr.new/@sidebase/nuxt-auth@1088

commit: acb43f0

[zoey-kaiser]

This is a pretty big bump to vue-tsc. Are there any other packages that make sense to update too (e.g. jump to typescript 6?)

[zoey-kaiser]

Soooo? 👀

[zoey-kaiser]

Code approved! Can you please adjust the PR title to be more exact about the changes prior to merging 🙏