[docs] Fix documentation inconsistencies in doc/ folder

[github-actions]

Summary

This PR fixes several inconsistencies found between the doc/ documentation and the actual source code/repository structure.

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1. doc/dev/static_type_checking.md — Wrong pinned tool versions

Issue: The guide stated mypy was pinned to 1.9.0 and pyright to 1.1.287, but the actual source of truth (eng/tools/azure-sdk-tools/azpysdk/mypy.py and pyright.py) has MYPY_VERSION = "1.18.1" and PYRIGHT_VERSION = "1.1.405".

Fix: Updated all version references (linked text, pip install commands) to match the actual pinned versions in the tooling:

• mypy: 1.9.0 → 1.18.1
• pyright: 1.1.287 → 1.1.405 (three occurrences: Run pyright section, Run verifytypes section)

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2. doc/request_builders.md and doc/send_request.md — Broken async code examples

Issue 1 — NameError in exception handler: The sync and async example code used except HttpResponseError: (without as e) but then called print(str(e)). This would raise NameError: name 'e' is not defined at runtime.

Issue 2 — Deprecated internal API: The async examples called await response.load_body(). This method is marked as a backcompat-only internal alias in azure/core/rest/_aiohttp.py (backcompat_attrs = ["load_body"]). The correct public API is await response.read().

Fix:

• except HttpResponseError: → except HttpResponseError as e: (in both files)
• await response.load_body() → await response.read() (in both files)

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3. doc/dev/packaging.md — Outdated setup.py example

Issue: The example setup.py had several divergences from actual current packages:

• Read from 'version.py' but all actual packages (e.g., azure-storage-blob, azure-keyvault-secrets) use '_version.py'
• Read from README.rst and HISTORY.rst (concatenated as long_description) — modern packages use README.md
• Listed msrest, msrestazure, and azure-common as install_requires — these are deprecated dependencies no longer used in modern SDK packages
• Used python_requires=">=3.8" and classifier Python :: 3.8 — the actual minimum enforced across core packages (azure-core, azure-storage-blob, etc.) and CI is 3.9

Fix: Updated the example setup.py to match current conventions:

• 'version.py' → '_version.py'
• README.rst/HISTORY.rst → README.md with long_description_content_type='text/markdown'
• Removed stale msrest/msrestazure/azure-common; replaced with azure-core>=1.30.0 as a representative modern dependency
• Updated python_requires and classifiers from 3.8→3.9, added Python 3.13

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4. doc/dev/tests.md and doc/dev/dev_setup.md — Stale Python 3.8 references

Issue: Both files referenced Python 3.8 as the minimum supported version, and tests.md included Windows Store links in the old (www.microsoft.com/redacted) format (not working for 3.8/3.9/3.10). The eng_sys_checks.mdand CI pipelines use Python 3.9 as the minimum, and core packages likeazure-coreandazure-storage-blobdeclarepython_requires=">=3.9"`.

Fix:

• Updated "Python 3.8 and up" → "Python 3.9 and up" in both files
• Removed Python 3.8 Windows Store link entry; updated 3.9 and 3.10 links to the current apps.microsoft.com/detail/... format (matching the 3.11/3.12 links already present)
• Updated py -3.8 comment in dev_setup.md → py -3.9

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