[WIP] Update lint/type-check tooling to next-* versions

[Copilot]

Thanks for asking me to work on this. I will get started on it and keep this PR's description up to date as I form a plan and make progress.

Original prompt

Update lint/type-check tooling in PR #46279 to the next-* versions.

Context

• Repository: Azure/azure-sdk-for-python
• Pull request: next-* swap #46279 ("next-* swap")
• Goal: update pylint, mypy, and any related lint/type-check dependencies/config ("pylint/mytpy etc") so CI uses the next-* versions consistently.

What to do

1. Check the repo’s dependency management files (e.g., requirements*.txt, pyproject.toml, setup.cfg, tox.ini, noxfile.py, eng/, scripts/, CI workflow YAMLs) and identify where pylint, mypy, and other linting/type-checking tools are pinned.
2. Update those pins to the appropriate next-* equivalents used by this repo (e.g., packages named like pylint-next, mypy-next, or similarly named pre-release / next-channel packages used by Azure SDK tooling). Ensure versions align with the repo’s conventions.
3. Update any configuration or invocation that refers to the old tool package names/entrypoints if needed.
4. Run/adjust the relevant CI job configs so they install and run the updated tooling.
5. Ensure the PR remains green: fix any issues caused by tool upgrades (new warnings/errors, config changes, plugin compatibility, etc.).
6. Add/adjust changelog/notes only if this repo’s conventions require it for tooling changes.

Acceptance criteria

• All places in the repo that install or pin lint/type-check tools are updated to the next-* versions.
• CI and local developer flows continue to work.
• No redundant/contradictory pins remain.
• Changes are committed to the existing PR next-* swap #46279.

Notes

• The user specifically called out "pylint/mytpy etc" — include related tools like flake8, black, isort, pyright, ruff, pylint-azure-sdk, or any Azure SDK-specific lint plugins if they are part of the same tooling set.

The following is the prior conversation context from the user's chat exploration (may be truncated):

User: update pylint/mytpy etc to next-* versions @Azure/azure-sdk-for-python/pull/46279

Assistant: I’m currently waiting on your approval/response to proceed with making the updates in PR #46279 (switching pylint/mypy and related tooling to the appropriate next-* versions).

This pull request was created from Copilot chat.