fix(integrations): enhance input handling for embeddings in LiteLLM integration

[constantinius]

Issues

Closes https://linear.app/getsentry/issue/TET-1461/fix-embedding-support-for-litellm

[linear]

TET-1461 Fix embedding support for litellm

[codecov]

Codecov Report

❌ Patch coverage is 73.33333% with 4 lines in your changes missing coverage. Please review.
✅ Project coverage is 83.99%. Comparing base (145773b) to head (d0e0751).
✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
sentry_sdk/integrations/litellm.py	73.33%	0 Missing and 4 partials ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #5127      +/-   ##
==========================================
- Coverage   84.00%   83.99%   -0.02%     
==========================================
  Files         180      180              
  Lines       18081    18090       +9     
  Branches     3216     3220       +4     
==========================================
+ Hits        15189    15194       +5     
- Misses       1913     1914       +1     
- Partials      979      982       +3     

Files with missing lines	Coverage Δ
sentry_sdk/integrations/litellm.py	79.16% <73.33%> (+1.68%)	⬆️

... and 2 files with indirect coverage changes

[alexander-alderman-webb]

Looks good! Just some questions regarding the test setup.