Add air conditioner fan entity

[Diegorro98]

Proposed change

Add Air conditioner fan entity to Home Connect

Type of change

• Spelling, grammar or other readability improvements (current branch).
• Adjusted missing or incorrect information in the current documentation (current branch).
• Added documentation for a new integration I'm adding to Home Assistant (next branch).
  • I've opened up a PR to add logos and icons in Brands repository.
• Added documentation for a new feature I'm adding to Home Assistant (next branch).
• Removed stale or deprecated documentation.

Additional information

• Link to parent pull request in the codebase: Add fan entity for air conditioner to Home Connect core#155983
• Link to parent pull request in the Brands repository:
• This PR fixes or closes issue: fixes #

Checklist

• This PR uses the correct branch, based on one of the following:
  • I made a change to the existing documentation and used the current branch.
  • I made a change that is related to an upcoming version of Home Assistant and used the next branch.
• The documentation follows the Home Assistant documentation standards.

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[Copilot]

Pull Request Overview

This PR adds documentation for the new Fan platform support in the Home Connect integration. The change documents that air conditioner appliances can now control fan speed through the fan entity platform.

Key changes

• Added Fan to the integration's categories and platform lists
• Added a new Fan entity documentation section describing the air conditioner fan control functionality

[frenck]

✅ Approved. Can be merged as soon as the parent PR gets merged.