Template fan new syntax

[tetele]

Proposed change

Template fans now support the new template entity syntax (which is also the default)

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.
• [x] 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: https://github.com/home-assistant/core/pull/128405
• Link to parent pull request in the Brands repository:
• This PR fixes or closes issue: fixes #

Checklist

• [x] 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.
• [x] The documentation follows the Home Assistant documentation standards.

Summary by CodeRabbit

• New Features

  • Introduced a simplified YAML configuration structure for template fans, enhancing clarity and usability.
  • Added support for fan entities, including attributes like state, percentage, preset mode, oscillating, and direction.

• Documentation

  • Updated documentation to reflect the new fan entity configuration, including examples and descriptions for new attributes and actions.
  • Added a note indicating that UI configuration is not available for template fans.