Add climate platform to Matter docs (#28009)

* Add climate platform to Matter docs

* adjust text about missing thermostat support on aqara hub

* adjust category

source/_integrations/matter.markdown

@@ -3,6 +3,7 @@ title: Matter (BETA)
 description: Instructions on how to integrate Matter with Home Assistant.
 ha_category:
   - Binary Sensor
+  - Climate
   - Cover
   - Light
   - Lock
@@ -16,6 +17,7 @@ ha_codeowners:
 ha_domain: matter
 ha_platforms:
   - binary_sensor
+  - climate
   - cover
   - diagnostics
   - light
@@ -91,7 +93,6 @@ If you run Home Assistant in a container, you can run a Docker image of the [Mat
 
 Running Matter on a Home Assistant Core installation is not supported.
 
-
 ## Adding Matter devices to Home Assistant
 
 Each Matter network is called a fabric. Each home automation controller that controls Matter devices has its own "fabric". You can add devices directly to the fabric of your Home Assistant instance, or share them from another fabric (ie Google, Apple) to Home Assistant's fabric. We're going to explore all these options below.
@@ -180,7 +181,6 @@ Did you test a device that is not listed below? It would be greatly appreciated
 - You need to enable Matter support/firmware in the Aqara app.
 - You will need an Aqara (cloud) account and the app before you can use Matter.
 - See [this Aqara landingpage](https://www.aqara.com/en/article-1583275073188196352.html) for more information, including what devices are bridged.
-- Thermostat devices (climate platform) are not supported yet (but are currently in development).
 - Device events, for example for the wall rockers and Cube, are not supported.
 
 ### Eve Energy (power plug), Eve Door & Window (contact sensor), Eve Motion (motion sensor)