add swing horizontal mode in mqtt climate docs

[mamrai1]

Proposed change

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 support for swing horizontal mode for mqtt climate core#139303
• 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.

Summary by CodeRabbit

• New Features
  • Enhanced HVAC control by introducing advanced configuration options for swing horizontal mode via MQTT.
  • Added customizable templates and topics for both command and state management.
  • Updated configuration examples to reflect the new flexible settings for swing horizontal modes.

[home-assistant]

It seems that this PR is targeted against an incorrect branch. Documentation updates which apply to our current stable release should target the current branch. Please change the target branch of this PR to current and rebase if needed. If this is documentation for a new feature, please add a link to that PR in your description.

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[coderabbitai]

📝 Walkthrough

Walkthrough

This pull request adds new MQTT configuration attributes for HVAC integrations. It introduces command and state templates and topics for managing the swing horizontal mode, as well as a list of supported swing horizontal modes. The example configuration is updated to include these new attributes, enabling more granular control of the HVAC swing horizontal functionality via MQTT.

Changes

File	Change Summary
source/_integrations/climate.mqtt.markdown	- Added swing_horizontal_mode_command_template, swing_horizontal_mode_command_topic, swing_horizontal_mode_state_template, swing_horizontal_mode_state_topic, and swing_horizontal_modes attributes. - Updated example configuration to include the new attributes.

Sequence Diagram(s)

sequenceDiagram
    participant User
    participant MQTT_Integration
    participant HVAC_Device

    User->>MQTT_Integration: Request change to swing horizontal mode
    MQTT_Integration->>HVAC_Device: Publish command (using swing_horizontal_mode_command_template & topic)
    HVAC_Device-->>MQTT_Integration: Send state update (via swing_horizontal_mode_state_topic)
    MQTT_Integration->>User: Update state (using swing_horizontal_mode_state_template)

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📜 Recent review details

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📥 Commits

Reviewing files that changed from the base of the PR and between 022444f and da23a83.

📒 Files selected for processing (1)

• source/_integrations/climate.mqtt.markdown (3 hunks)

🚧 Files skipped from review as they are similar to previous changes (1)

• source/_integrations/climate.mqtt.markdown

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[home-assistant]

Hey there @emontnemery, @jbouwh, @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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[jbouwh]

Please correct the order to make it alphabetically correct

[home-assistant]

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

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[jbouwh]

LGTM,
Thanks @mamrai1 👍
Can be merged when parent gets merged