Update docs to reflect Climate changes. (#7764)

* Update climate supported features and list available modes.

* update docs to reflect auto -> heatcool change

Reverted a change in the code per.

source/_components/google_assistant.markdown

@@ -186,7 +186,7 @@ Currently, the following domains are available to be used with Google Assistant,
 - lock (lock/unlock (to allow assistant to unlock, set the `allow_unlock` key in configuration))
 - cover (on/off/set position (via set brightness))
 - media_player (on/off/set volume (via set brightness)/source (via set input source))
-- climate (temperature setting)
+- climate (temperature setting, operation_mode)
 - vacuum (dock/start/stop/pause)
 
 ### {% linkable_title Media Player Sources %}
@@ -196,8 +196,22 @@ There is currently a limitation with this feature that requires a hard-coded set
 https://developers.google.com/actions/reference/smarthome/traits/modes
 
 #### Example Command:
+
 "Hey Google, change input source to TV on Living Room Receiver"
 
+### {% linkable_title Climate Operation Modes %}
+
+There is not an exact 1-1 match between Home Assistant and Google Assistant for the available operation modes.  
+Here are the modes that are currently available:
+
+- off
+- heat
+- cool
+- heatcool (auto)
+- fan-only
+- dry
+- eco
+
 ### {% linkable_title Troubleshooting the request_sync service %}
 
 The request_sync service requires that the initial sync from Google includes the agent_user_id. If not, the service will log an error that reads something like "Request contains an invalid argument". If this happens, then [unlink the account](https://support.google.com/googlehome/answer/7506443) from Home Control and relink.