fix: remove litai auth as it is handled in sdk

[k223kim]

Before submitting

• Was this discussed/agreed via a Github issue? (no need for typos and docs improvements)
• Did you read the contributor guideline, Pull Request section?
• Did you make sure to update the docs?
• Did you write any new necessary tests?

What does this PR do?

Removed the existing authentication in LitAI as it is handled in the SDK.

PR review

Anyone in the community is free to review the PR once the tests have passed.
If we didn't discuss your PR in GitHub issues there's a high chance it will not be merged.

Did you have fun?

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 89%. Comparing base (f42085b) to head (fd540c0).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@        Coverage Diff         @@
##           main   #39   +/-   ##
==================================
  Coverage    89%   89%           
==================================
  Files         6     6           
  Lines       413   400   -13     
==================================
- Hits        366   355   -11     
+ Misses       47    45    -2     

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