feat(ui): project section grpc to REST API migration

[Marvin9]

Description

Closes #6282

Checklist

Eligibility

• Linked to an existing issue with no blocking labels (kind/proposal, needs discussion, needs research, maintainer only, area/security, size/large, size/x-large, size/xx-large).
• Changes documentation only.
• Changes ten lines or fewer.

Quality

• Adds or updates corresponding tests.
• Adds or updates corresponding documentation.

AI Use Disclosure

This PR was written:

• By a human without AI assistance.
• By a human with AI assistance. A human has reviewed every line prior to opening the PR.
• By an AI with human supervision. A human has reviewed every line prior to opening the PR.
• Entirely by an AI. No human has reviewed this prior to opening the PR.

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 58.34%. Comparing base (5e02f7e) to head (82e91a7).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #6412   +/-   ##
=======================================
  Coverage   58.34%   58.34%           
=======================================
  Files         500      500           
  Lines       42015    42013    -2     
=======================================
- Hits        24515    24514    -1     
+ Misses      16029    16027    -2     
- Partials     1471     1472    +1     

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[Marvin9]

Remaining:

• Refactor watch endpoints for performance (right now they are same as they were pre-performance improvement)
• Analysis run module
• Testing each and every affected change and cases