Add MQTT datetime platform

[jbouwh]

Proposed change

Add MQTT datetime platform

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 MQTT datetime platform core#169091
• 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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[home-assistant]

Hey there @emontnemery, @bdraco, mind taking a look at this feedback as it has been labeled with an integration (mqtt) you are listed as a code owner for? Thanks!

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[Copilot]

Pull request overview

Note

Copilot was unable to run its full agentic suite in this review.

Adds documentation support for the new MQTT datetime platform.

Changes:

• Add datetime to the MQTT integration platform list and entity link lists.
• Add a new datetime.mqtt documentation page describing configuration and examples.
• Extend MQTT discovery abbreviation mappings with tz → timezone.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 5 comments.

File	Description
source/_integrations/mqtt.markdown	Adds datetime to supported platforms, links to the new docs page, and documents the tz discovery abbreviation.
source/_integrations/datetime.mqtt.markdown	New documentation page for configuring and using the MQTT Date/Time platform.