chore(sveltekit): update more current docs to latest SvelteKitAuth API and finish example app migration to latest API

[ndom91]

☕️ Reasoning

1. Updates sveltekit example app to use the new SignOut button submitButton slot now that its shipped
2. Cleanup @auth/sveltekit jsdoc doc regarding "per-path" authentication + authorization using the new sveltekit API
3. Update current SvelteKitAuth docs regarding new SignIn / SignOut comopnents for server-side and the @auth/sveltekit/client exports signIn / signOut methods for cleint-side actions

🧢 Checklist

• Documentation
• Tests
• Ready to be merged

🎫 Affected issues

Fixes: 10187

📌 Resources

• Security guidelines
• Contributing guidelines
• Code of conduct
• Contributing to Open Source

[vercel]

The latest updates on your projects. Learn more about Vercel for Git ↗︎

Name	Status	Preview	Comments	Updated (UTC)
auth-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Mar 2, 2024 4:54pm

2 Ignored Deployments

Name	Status	Preview	Comments	Updated (UTC)
next-auth-docs	⬜️ Ignored (Inspect)	Visit Preview		Mar 2, 2024 4:54pm
nextra-docs	⬜️ Ignored (Inspect)	Visit Preview		Mar 2, 2024 4:54pm

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 86 lines in your changes are missing coverage. Please review.

Project coverage is 39.31%. Comparing base (5136ca4) to head (4c90264).
Report is 3 commits behind head on main.

Files	Patch %	Lines
packages/frameworks-sveltekit/src/lib/index.ts	0.00%	86 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #10191      +/-   ##
==========================================
- Coverage   39.39%   39.31%   -0.08%     
==========================================
  Files         171      171              
  Lines       27181    27236      +55     
  Branches     1154     1157       +3     
==========================================
  Hits        10708    10708              
- Misses      16473    16528      +55     

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.