Avoid redundant calls to async_write_ha_state in mqtt lawn_mower (#100795)

Avoid redundant calls to async_write_ha_state

tests/components/mqtt/test_lawn_mower.py

@@ -24,6 +24,7 @@ from homeassistant.const import (
 from homeassistant.core import HomeAssistant, State
 
 from .test_common import (
+    help_custom_config,
     help_test_availability_when_connection_lost,
     help_test_availability_without_topic,
     help_test_custom_availability_payload,
@@ -47,6 +48,7 @@ from .test_common import (
     help_test_setting_attribute_via_mqtt_json_message,
     help_test_setting_attribute_with_template,
     help_test_setting_blocked_attribute_via_mqtt_json_message,
+    help_test_skipped_async_ha_write_state,
     help_test_unique_id,
     help_test_unload_config_entry_with_platform,
     help_test_update_with_json_attrs_bad_json,
@@ -886,3 +888,39 @@ async def test_persistent_state_after_reconfig(
     # assert the state persistent
     state = hass.states.get("lawn_mower.garden")
     assert state.state == "docked"
+
+
+@pytest.mark.parametrize(
+    "hass_config",
+    [
+        help_custom_config(
+            lawn_mower.DOMAIN,
+            DEFAULT_CONFIG,
+            (
+                {
+                    "activity_state_topic": "activity-state-topic",
+                    "availability_topic": "availability-topic",
+                    "json_attributes_topic": "json-attributes-topic",
+                },
+            ),
+        )
+    ],
+)
+@pytest.mark.parametrize(
+    ("topic", "payload1", "payload2"),
+    [
+        ("activity-state-topic", "mowing", "paused"),
+        ("availability-topic", "online", "offline"),
+        ("json-attributes-topic", '{"attr1": "val1"}', '{"attr1": "val2"}'),
+    ],
+)
+async def test_skipped_async_ha_write_state(
+    hass: HomeAssistant,
+    mqtt_mock_entry: MqttMockHAClientGenerator,
+    topic: str,
+    payload1: str,
+    payload2: str,
+) -> None:
+    """Test a write state command is only called when there is change."""
+    await mqtt_mock_entry()
+    await help_test_skipped_async_ha_write_state(hass, topic, payload1, payload2)