llm call: polling llm db endpoint

[nishika26]

Summary

Target issue is #PLEASE_TYPE_ISSUE_NUMBER
Explain the motivation for making this change. What existing problem does the pull request solve?

Checklist

Before submitting a pull request, please ensure that you mark these task.

• Ran fastapi run --reload app/main.py or docker compose up in the repository root and test.
• If you've fixed a bug or added code that is tested and has test cases.

Notes

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✨ Finishing Touches

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• Commit unit tests in branch enahncement/polling_llmcall_db

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[codecov]

Codecov Report

❌ Patch coverage is 64.28571% with 15 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
backend/app/api/routes/llm.py	50.00%	15 Missing ⚠️

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