[FEATURE] Fix the middleware routes handling

[yashksaini-coder]

Problem Statement

The main aim is to adjust and fix the middleware client & server routes handle after the logout action. Ensure proper checks and clearing user client session from supabase

Proposed Solution

Fix or update the middleware logic,

Alternative Solutions

No response

Screenshots or Mockups

No response

Priority

High

Contribution Guidelines

• I have searched existing issues and this is not a duplicate
• I would like to implement this feature

[github-actions]

👋 Hello @yashksaini-coder!

Thank you for raising an issue in the Leetcode Journal project!
Your issue has been logged, and the team will review it shortly.

Issue Handling Checklist:

• Make sure the issue includes clear steps to reproduce (if applicable).
• Provide relevant context, screenshots, or logs.
• Mention if this issue blocks any critical workflows.

Notifications:

• Project Admin: @yashksaini-coder
• Mentor: @ompharate

We'll get back to you soon. Stay tuned! 🚀

[hanuchaudhary]

I'll do it!