Thermostat card HVAC mode does not fallback when no status change event occurs

[BlackIceOut]

Checklist

• [X] I have updated to the latest available Home Assistant version.
• [X] I have cleared the cache of my browser.
• [X] I have tried a different browser to see if it is related to my browser.
• [X] I have tried reproducing the issue in safe mode to rule out problems with unsupported custom resources.

Describe the issue you are experiencing

The thermostat card does not resync HVAC modes when no status change event occurs. The dashboard has to be refreshed or another attribute like the temperature setpoint needs to be triggered to update the card.

Describe the behavior you expected

The HVAC mode should resync after 2 second delay if no state change event occurs. This is already happening in the more-info dialog but not on the card.

Steps to reproduce the issue

1. Select a HVAC mode on thermostat card (where HVAC status in known not to update).
2. HVAC mode will not update unless forced.

What version of Home Assistant Core has the issue?

2024.7.2

What was the last working version of Home Assistant Core?

No response

In which browser are you experiencing the issue with?

Google Chrome 126.0.6478.128

Which operating system are you using to run this browser?

Windows 11 23H2

State of relevant entities

No response

Problem-relevant frontend configuration

# Thermostat Card configuration
type: thermostat
entity: climate.lounge_room_ac
features:
  - type: climate-fan-modes
    style: dropdown
  - type: climate-hvac-modes

Javascript errors shown in your browser console/inspector

No response

Additional information

No response