Show live background task counts

app/androidApp/src/main/kotlin/com/example/aiapp/Events.kt

@@ -140,6 +140,9 @@ sealed class SessionEvent {
     /** The same command, handed to the session. */
     data class CommandSent(val id: String, val text: String) : SessionEvent()
 
+    /** Provider-reported number of background tasks alive now. */
+    data class BackgroundTasks(val count: Int) : SessionEvent()
+
     data class Status(val state: String) : SessionEvent()
 
     /**
@@ -283,6 +286,7 @@ fun parseSeqEvent(json: String): SeqEvent {
             "commandQueued" ->
                 SessionEvent.CommandQueued(body.getString("id"), body.getString("text"))
             "commandSent" -> SessionEvent.CommandSent(body.getString("id"), body.getString("text"))
+            "backgroundTasks" -> SessionEvent.BackgroundTasks(body.getInt("count"))
             "status" -> SessionEvent.Status(body.getString("state"))
             "settings" ->
                 SessionEvent.Settings(