[codex] Publish LG climate action status

[joeblack2k]

Summary

Publishes the ESPHome climate action field so Home Assistant can show whether the LG unit is currently cooling, heating, drying, fan-only, idle, defrosting, or off.

Fix Log

• Investigated issue Feature Request - Set "Action" Attribute #94 and the current LG status message handling.
• Used the existing outdoor-unit status bit as the conditioning/idle signal.
• Maps climate modes to Home Assistant actions:
  • off -> CLIMATE_ACTION_OFF
  • fan-only -> CLIMATE_ACTION_FAN
  • cool with outdoor unit active -> CLIMATE_ACTION_COOLING
  • dry with outdoor unit active -> CLIMATE_ACTION_DRYING
  • heat with outdoor unit active -> CLIMATE_ACTION_HEATING
  • heat/cool with outdoor unit active -> cooling/heating based on the temperature mode flags reported by the unit
  • powered on without outdoor activity -> CLIMATE_ACTION_IDLE
  • defrost bit set -> CLIMATE_ACTION_DEFROSTING
• Updates action even when a received status message is otherwise ignored because a local send/change is pending. This keeps the UI action responsive without overwriting pending settings.
• Immediately sets the action to off/fan/idle for local Home Assistant mode changes where possible, then lets the next unit status refine it.

Notes

The action is intentionally derived from data the component already receives. It does not change the LG bus protocol or add new commands.

Validation

• git diff --check
• uvx esphome config template.yaml
• uvx esphome compile template.yaml

Fixes #94.

[kchen]

It looks like this doesn't include using the preheating flag (as discussed in #94) to account for multiple indoor units having different heating vs idle states.

[joeblack2k]

Superseded by the combined draft PR:

#172

I also carried over the review feedback from this thread: the new branch treats the preheat bit as an idle override when deriving climate action, so multi-split setups are handled more accurately than the original #171 logic.

[joeblack2k]

Closing this draft in favor of the combined status/telemetry PR #172. The replacement includes the climate action work, the preheat fix from review feedback, error-code precision, and AE.80/CE.80 passive telemetry sensors.