fix(types): clear existing ty diagnostics

[Komzpa]

Summary

• clean up the existing ty check diagnostics on main
• keep Pydantic builder code on snake_case field names via model_validate instead of alias-only constructor kwargs
• make test-only invalid assignments, partial fake repositories, and recursive JSON payloads explicit to the type checker

Validation

• .venv/bin/ty check
• .venv/bin/ruff check .
• .venv/bin/ruff format --check .
• .venv/bin/pytest -q tests/unit tests/test_request_logs_options_api.py (1429 passed, 39 skipped)
• .venv/bin/pytest -q tests/integration/test_db_models.py tests/integration/test_migrations.py tests/integration/test_v1_models.py tests/integration/test_v1_usage.py (36 passed, 3 skipped)

[Soju06]

@codex review

[chatgpt-codex-connector]

Codex Review: Didn't find any major issues. Another round soon, please!

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[Soju06]

@all-contributors please add @Komzpa for code

[allcontributors]

@Soju06

I've put up a pull request to add @Komzpa! 🎉