[improve] [broker] Fix broker restart logic (#20113)

(cherry picked from commit 092819b)

pulsar-broker/src/main/java/org/apache/pulsar/broker/PulsarService.java

@@ -467,6 +467,12 @@ public CompletableFuture<Void> closeAsync() {
                 protocolHandlers = null;
             }
 
+            // cancel loadShedding task and shutdown the loadManager executor before shutting down the broker
+            if (this.loadSheddingTask != null) {
+                this.loadSheddingTask.cancel();
+            }
+            executorServicesShutdown.shutdown(loadManagerExecutor);
+
             List<CompletableFuture<Void>> asyncCloseFutures = new ArrayList<>();
             if (this.brokerService != null) {
                 CompletableFuture<Void> brokerCloseFuture = this.brokerService.closeAsync();
@@ -501,12 +507,6 @@ public CompletableFuture<Void> closeAsync() {
                 this.leaderElectionService = null;
             }
 
-            // cancel loadShedding task and shutdown the loadManager executor before shutting down the broker
-            if (this.loadSheddingTask != null) {
-                this.loadSheddingTask.cancel();
-            }
-            executorServicesShutdown.shutdown(loadManagerExecutor);
-
             if (adminClient != null) {
                 adminClient.close();
                 adminClient = null;