[8.3] [ML] Add exception detail to auditor failure to install template (

#88509)

While looking at a different issue I noticed cases of the
ML auditor failing to install its template. Unfortunately
this log message didn't include the exception, so it was
not possible to say for sure why this happened. This PR
adds the exception.

Backport of #88498

x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/common/notifications/AbstractAuditor.java

@@ -17,6 +17,7 @@
 import org.elasticsearch.client.internal.OriginSettingClient;
 import org.elasticsearch.cluster.metadata.ComposableIndexTemplate;
 import org.elasticsearch.cluster.service.ClusterService;
+import org.elasticsearch.core.Strings;
 import org.elasticsearch.core.TimeValue;
 import org.elasticsearch.xcontent.ToXContent;
 import org.elasticsearch.xcontent.XContentBuilder;
@@ -140,10 +141,10 @@ protected void indexDoc(ToXContent toXContent) {
                 hasLatestTemplate.set(true);
             }
             logger.info("Auditor template [{}] successfully installed", templateName);
-            writeBacklog();
             putTemplateInProgress.set(false);
+            writeBacklog();
         }, e -> {
-            logger.warn("Error putting latest template [{}]", templateName);
+            logger.warn(Strings.format("Error putting latest template [%s]", templateName), e);
             putTemplateInProgress.set(false);
         });
 
@@ -158,7 +159,7 @@ protected void indexDoc(ToXContent toXContent) {
                     }
                     backlog.add(toXContent);
                 } else {
-                    logger.error("Latest audit template missing but the back log has been written");
+                    logger.error("Latest audit template missing and audit message cannot be added to the backlog");
                 }
 
                 // stop multiple invocations