Revert "Publish device and bridge availability when Home Assistant comes online. https://github.com/Koenkk/zigbee2mqtt/issues/13382"

This reverts commit 619d5232db.

lib/extension/homeassistant.ts

@@ -1333,8 +1333,6 @@ export default class HomeAssistant extends Extension {
             data.message.toLowerCase() === 'online') {
             const timer = setTimeout(async () => {
                 // Publish all device states.
-                this.mqtt.publishStateOnline();
-                this.eventBus.emitPublishAvailability();
                 for (const entity of [...this.zigbee.devices(false), ...this.zigbee.groups()]) {
                     if (this.state.exists(entity)) {
                         this.publishEntityState(entity, this.state.get(entity), 'publishCached');