Add integration docs for APsystems API

[mawoka-myblock]

Proposed change

Adds integration docs

Type of change

• [ ] Spelling, grammar or other readability improvements (current branch).
• [ ] Adjusted missing or incorrect information in the current documentation (current branch).
• [x] Added documentation for a new integration I'm adding to Home Assistant (next branch).
  • [x] 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: https://github.com/home-assistant/core/pull/114531
• Link to parent pull request in the Brands repository: https://github.com/home-assistant/brands/pull/5433
• 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.

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[home-assistant[bot]]

Please take a look at the requested changes, and use the Ready for review button when you are done, thanks :+1:

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[mawoka-myblock]

Thanks. I've commented the code out, as this will be added soon when I finish the other PRs in the core.

[c0ffeeca7]

Thanks. I've commented the code out, as this will be added soon when I finish the other PRs in the core.

ah, I was just going to ask about the comments. Please remove them from this PR, if they are related to changes from other core PRs.

[mawoka-myblock]

Okay, removed the comments

[mawoka-myblock]

Why did you close the PR?

[frenck]

Why did you close the PR?

I didn't. You did in https://github.com/home-assistant/core/pull/117782

You marked this PR to be closed by GitHub when that one would be merged by assign the fixes keyword in front of the PR.

../Frenck

[mawoka-myblock]

Oh! I didn't know that and also didn't expect that, as I've just linked to a comment in this PR, not to the PR itself.

[mawoka-myblock]

No problem, thank you for your nice feedback and all the commit suggestions below immediately! Really appreciate that!