[http-client] update linting/formatting to use azpysdk for consistency

[l0lawrence]

like azure-sdk-for-python ci

[github-actions]

🎯 Issue Triage

Feature request to update the http-client-python emitter's linting and formatting tooling to use the same setup as azure-sdk-for-python CI, ensuring consistency across the Python SDK ecosystem.

Category: Feature Request
Area: emitter:client:python

🔍 Analysis

• The request is to align CI linting/formatting tooling in @typespec/http-client-python with the conventions used in azure-sdk-for-python.
• This is a developer experience / CI consistency improvement rather than a functional bug.
• Affected component: packages/http-client-python (linting/formatting configuration and CI scripts).
• No duplicate issues found.

📝 Suggested next steps

• Identify which linting/formatting tools azure-sdk-for-python uses (e.g., pylint, black, pyright, ruff, mypy).
• Update packages/http-client-python CI configuration to mirror those tools and their configurations.
• Ensure existing code passes under the new tooling before enforcing it in CI.

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