Add climate platform to LG ThinQ integration (#34662)

Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
Co-authored-by: jangwon.lee <jangwon.lee@lge.com>
Co-authored-by: Franck Nijhof <git@frenck.dev>

source/_integrations/lg_thinq.markdown

@@ -12,6 +12,7 @@ ha_domain: lg_thinq
 ha_platforms:
   - switch
   - binary_sensor
+  - climate
   - fan
   - vacuum
 ha_integration_type: integration
@@ -85,6 +86,7 @@ LG ThinQ represents devices as a set of [profiles](https://thinq.developer.lge.c
 A list of all Entity Platforms provided by LG ThinQ Integration:
 
 - [Binary sensor](#binary-sensor)
+- [Climate](#climate)
 - [Switch](#switch)
 - [Fan](#fan)
 - [Vacuum](#vacuum)
@@ -103,6 +105,15 @@ A read-only property which has only two states that can be toggled is represente
 | | Enable Sabbath mode |
 | [Wine Cellar](https://thinq.developer.lge.com/en/cloud/docs/thinq-connect/device-profile/Wine-Cellar/) | Enable Sabbath mode |
 
+### Climate
+
+The properties for controlling both the temperature and wind strength of the appliance are represented as a climate platform.
+
+| Device | Property |
+| ------ | -------- |
+| [Air Conditioner](https://thinq.developer.lge.com/en/cloud/docs/thinq-connect/device-profile/air-conditioner/) | Fan mode<br>HVAC mode<br>Preset mode<br>Current temperature<br>Target temperature<br>Target temperature high<br>Target temperature low<br>Unit |
+| [System Boiler](https://thinq.developer.lge.com/en/cloud/docs/thinq-connect/device-profile/System-Boiler/) | HVAC mode<br>Current temperature<br>Target temperature<br>Target temperature high<br>Target temperature low<br>Unit |
+
 ### Fan
 
 The properties for controlling the wind strength of the appliance are represented as a fan platform.