fix(home-assistant): no availability msgs for distributed child devices

Distributed entities that had an override on their device config
incorrectly send offline messages whenever an instance was shutting
down. This extends the logic to also correctly cover these child devices
of the distributed hub.

src/integrations/home-assistant/home-assistant.service.spec.ts

@@ -18,6 +18,7 @@ import { SensorConfig } from './sensor-config';
 import { Entity } from '../../entities/entity';
 import { Sensor } from '../../entities/sensor';
 import { BinarySensor } from '../../entities/binary-sensor';
+import { DISTRIBUTED_DEVICE_ID } from './home-assistant.const';
 
 jest.mock('async-mqtt', () => {
   return {
@@ -107,10 +108,30 @@ describe('HomeAssistantService', () => {
 
   it('should not send offline messages for distributed entities', async () => {
     await service.onModuleInit();
-    service.handleNewEntity(new Sensor('distributed', 'Dist', true));
+    service.handleNewEntity(new Sensor('test-sensor', 'Dist', true));
     mockMqttClient.publish.mockClear();
 
+    await service.onApplicationShutdown();
+
+    expect(mockMqttClient.publish).not.toHaveBeenCalled();
+  });
+
+  it('should not send offline messages for entities belong to a child device of the distributed hub', async () => {
     await service.onModuleInit();
+    service.handleNewEntity(new Sensor('test-sensor', 'Dist', true), [
+      {
+        for: SensorConfig,
+        overrides: {
+          device: {
+            identifiers: 'test-device-id',
+            viaDevice: DISTRIBUTED_DEVICE_ID
+          }
+        }
+      }
+    ]);
+    mockMqttClient.publish.mockClear();
+
+    await service.onApplicationShutdown();
 
     expect(mockMqttClient.publish).not.toHaveBeenCalled();
   });

src/integrations/home-assistant/home-assistant.service.ts

@@ -76,7 +76,10 @@ export class HomeAssistantService
    */
   async onApplicationShutdown(): Promise<void> {
     this.entityConfigs.forEach(config => {
-      if (config.device?.identifiers !== DISTRIBUTED_DEVICE_ID) {
+      if (
+        config.device?.identifiers !== DISTRIBUTED_DEVICE_ID &&
+        config.device?.viaDevice !== DISTRIBUTED_DEVICE_ID
+      ) {
         this.mqttClient.publish(
           config.availabilityTopic,
           config.payloadNotAvailable,