Slide Local API documentation

[ualex73]

Proposed change

The Slide Cloud API will stop to work, this introduces the Local API.

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/117872
• 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.
• [ ] The documentation follows the Home Assistant documentation standards.

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[c0ffeeca7]

263 files changed - this is likely because the PR was based off of the current branch, not next

Please use next as the starting point.

[c0ffeeca7]

I'm drafting this PR, as changes are needed. Please undraft it once the changes have been implemented and the PR is ready for review again.

[ualex73]

263 files changed - this is likely because the PR was based off of the current branch, not next

Please use next as the starting point.

I am not too familiar with git, do you have a few simple commands how to easily rebase it with the next? Otherwise I need to delete this PR.