Reinstate block order in testSnapshotShutdownProgressTracker (#136015)

Partial revert of #134926
Backport of #135835 to 9.1

Author: DaveCTurner

server/src/internalClusterTest/java/org/elasticsearch/snapshots/SnapshotShutdownIT.java

@@ -499,7 +499,6 @@ public void testSnapshotShutdownProgressTracker() throws Exception {
         final var indexName = randomIdentifier();
         createIndexWithContent(indexName, indexSettings(numShards, 0).put(REQUIRE_NODE_NAME_SETTING, nodeForRemoval).build());
         indexAllShardsToAnEqualOrGreaterMinimumSize(indexName, ByteSizeValue.of(2, ByteSizeUnit.KB).getBytes());
-        logger.info("---> nodeForRemovalId: " + nodeForRemovalId + ", numShards: " + numShards);
 
         // Start the snapshot with blocking in place on the data node not to allow shard snapshots to finish yet.
         final var clusterService = internalCluster().getCurrentMasterNodeInstance(ClusterService.class);
@@ -509,21 +508,7 @@ public void testSnapshotShutdownProgressTracker() throws Exception {
 
         waitForBlock(otherNode, repoName);
 
-        // Block on the master when a shard snapshot request comes in, until we can verify that the Tracker saw the outgoing request.
-        final CountDownLatch snapshotStatusUpdateLatch = new CountDownLatch(1);
-        final var masterTransportService = MockTransportService.getInstance(internalCluster().getMasterName());
-        masterTransportService.addRequestHandlingBehavior(
-            SnapshotsService.UPDATE_SNAPSHOT_STATUS_ACTION_NAME,
-            (handler, request, channel, task) -> masterTransportService.getThreadPool().generic().execute(() -> {
-                safeAwait(snapshotStatusUpdateLatch);
-                try {
-                    handler.messageReceived(request, channel, task);
-                } catch (Exception e) {
-                    fail(e);
-                }
-            })
-        );
-
+        logger.info("---> nodeForRemovalId: " + nodeForRemovalId + ", numShards: " + numShards);
         mockLog.addExpectation(
             new MockLog.SeenEventExpectation(
                 "SnapshotShutdownProgressTracker start log message",
@@ -571,6 +556,21 @@ public void testSnapshotShutdownProgressTracker() throws Exception {
         mockLog.awaitAllExpectationsMatched();
         resetMockLog();
 
+        // Block on the master when a shard snapshot request comes in, until we can verify that the Tracker saw the outgoing request.
+        final CountDownLatch snapshotStatusUpdateLatch = new CountDownLatch(1);
+        final var masterTransportService = MockTransportService.getInstance(internalCluster().getMasterName());
+        masterTransportService.addRequestHandlingBehavior(
+            SnapshotsService.UPDATE_SNAPSHOT_STATUS_ACTION_NAME,
+            (handler, request, channel, task) -> masterTransportService.getThreadPool().generic().execute(() -> {
+                safeAwait(snapshotStatusUpdateLatch);
+                try {
+                    handler.messageReceived(request, channel, task);
+                } catch (Exception e) {
+                    fail(e);
+                }
+            })
+        );
+
         mockLog.addExpectation(
             new MockLog.SeenEventExpectation(
                 "SnapshotShutdownProgressTracker shard snapshot has paused log message",