Layouts, Purification, and and Clean-Up

[SatanshuMishra]

This PR contains several important changes for our website. Below are the most important changes. Please refer to specific Merge Commits for detailed list of changes:

• The routes for our website have been separated into two distinct sections: unauthenticated and restofthewebsite.
• The original Root Layout was broken down two layouts, One for each of the sections highlighted above. The navigation is not present in the unauthenticated.
• Added Purification for Sign-Up route.

This PR:

• Closes #167.
• Continues work on #150.
• Continues work on #158.

[SatanshuMishra]

I took a look at the branch and checked the edit profile stuff like you asked me and I don't know how but it seems that the page.tsx file in the slug for profile is an outdated version. All other files appears to be correct but that file.

Thank you for checking this! I was concerned that there were a few issues with version control. Let's fix this here so that the proper version doesn't get lost between versions.