fix(docs): correct budget_limits key names in OpenAPI docstrings

[gautamkishore]

Fixes #32695

The OpenAPI docstrings for budget_limits in key, team, and user management endpoints used incorrect key names (budget_limit / time_period). The actual API expects max_budget and budget_duration.

Updated 6 occurrences across 3 files to match the actual API schema.

[greptile-apps]

Greptile Summary

This PR fixes incorrect key names in budget_limits docstring examples across the key, team, and user management endpoints. The old examples used budget_limit and time_period, but the actual BudgetLimitEntry model (confirmed in litellm/models/team.py) requires max_budget and budget_duration.

• Corrects 6 docstring occurrences across 3 files (key_management_endpoints.py, team_endpoints.py, internal_user_endpoints.py), one each for the create and update endpoints.
• The updated examples now align with the BudgetLimitEntry Pydantic model, which defines max_budget: float and budget_duration: str as required fields — no functional code is changed.

Confidence Score: 5/5

Documentation-only change correcting docstring examples to match the actual Pydantic model — no runtime behavior is modified.

All six changed lines are docstring prose. The replacement key names (max_budget, budget_duration) match the BudgetLimitEntry model exactly, and no logic, validation, or tests are touched.

No files require special attention.

Important Files Changed

Filename	Overview
litellm/proxy/management_endpoints/internal_user_endpoints.py	Corrects two budget_limits docstring examples (new_user and user_update) from budget_limit/time_period to max_budget/budget_duration, matching the BudgetLimitEntry model.
litellm/proxy/management_endpoints/key_management_endpoints.py	Corrects two budget_limits docstring examples (generate_key_fn and update_key_fn) from budget_limit/time_period to max_budget/budget_duration.
litellm/proxy/management_endpoints/team_endpoints.py	Corrects two budget_limits docstring examples (new_team and update_team) from budget_limit/time_period to max_budget/budget_duration.

_{Reviews (1): Last reviewed commit: "fix docs: correct budget_limits key name..." | Re-trigger Greptile}

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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[codspeed-hq]

Merging this PR will not alter performance

✅ 31 untouched benchmarks

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_{Comparing gautamkishore:fix/32695-budget-limits-docs (8f43369) with main (10d5804)}