Airzone Cloud is now Cloud Push

[Noltari]

Proposed change

Airzone Cloud integration is now Cloud Push.

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: Update aioairzone-cloud to v0.4.6 core#112198
• 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.

[netlify]

✅ Deploy Preview for home-assistant-docs ready!

Name	Link
🔨 Latest commit	779a05d
🔍 Latest deploy log	https://app.netlify.com/sites/home-assistant-docs/deploys/65e5c65b0ecc1e0008865ad0
😎 Deploy Preview	https://deploy-preview-31728--home-assistant-docs.netlify.app
📱 Preview on mobile	Toggle QR Code... Use your smartphone camera to open QR code link.

---

To edit notification comments on pull requests, go to your Netlify site configuration.

[klaasnicolaas]

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