[WIP] Update base branch for pull request 3307

[Copilot]

• Understand PR [python] release new version #3307 context and requirements
• Follow SKILL.md workflow to update dependencies properly
• Get latest version of @typespec/http-client-python from npm (0.25.0)
• Update @autorest/python package.json to use ~0.25.0 from npm (instead of Azure Artifacts URL)
• Update @azure-tools/typespec-python package.json to use ~0.25.0 from npm (instead of Azure Artifacts URL)
• Update peer dependency @azure-tools/typespec-client-generator-core to >=0.64.2 (required by new version)
• Update dev dependency @azure-tools/typespec-client-generator-core to ~0.64.2
• Update @azure-tools/azure-http-specs to 0.1.0-alpha.36
• Create chronus change file documenting dependency bump
• Run pnpm install --no-frozen-lockfile to update pnpm-lock.yaml
• Build packages successfully with pnpm build
• Verify no peer dependency conflicts remain

Summary

This PR updates the base branch methodology of PR #3307 by following the SKILL.md workflow correctly. The key changes are:

1. Dependency Source: Changed from Azure Artifacts URLs to standard npm versions (~0.25.0)
2. Peer Dependencies: Updated required peer dependencies to match new version requirements
3. Change Tracking: Added proper chronus change file for version tracking
4. Lockfile: Updated pnpm-lock.yaml with new dependency resolutions

These changes align PR #3307 with the documented SKILL.md workflow for dependency bumps and releases.

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