[8.x] [test] Fix RetrySearchIntegTests (elastic#122919)

Backports elastic#122919 to 8.x

> Don't simultaneously restart multiple nodes in a cluster. It causes data races when
  multiple primaries are trying to mark the `[[.snapshot-blob-cache][0]]` shard as stale.

```
org.elasticsearch.cluster.action.shard.ShardStateAction$NoLongerPrimaryShardException: primary term [2] did not match current primary term [4]
	at org.elasticsearch.cluster.action.shard.ShardStateAction$ShardFailedClusterStateTaskExecutor.execute(ShardStateAction.java:355) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService.innerExecuteTasks(MasterService.java:1075) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService.executeTasks(MasterService.java:1038) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService.executeAndPublishBatch(MasterService.java:245) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService$BatchingTaskQueue$Processor.lambda$run$2(MasterService.java:1691) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.action.ActionListener.run(ActionListener.java:452) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService$BatchingTaskQueue$Processor.run(MasterService.java:1688) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService$5.lambda$doRun$0(MasterService.java:1283) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.action.ActionListener.run(ActionListener.java:452) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.cluster.service.MasterService$5.doRun(MasterService.java:1262) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.common.util.concurrent.ThreadContext$ContextPreservingAbstractRunnable.doRun(ThreadContext.java:1044) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at org.elasticsearch.common.util.concurrent.AbstractRunnable.run(AbstractRunnable.java:27) ~[elasticsearch-8.18.0-SNAPSHOT.jar:8.18.0-SNAPSHOT]
	at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1144) ~[?:?]
	at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:642) ~[?:?]
	at java.lang.Thread.run(Thread.java:1575) ~[?:?]
```

Resolve elastic#118374
Resolve elastic#120442

muted-tests.yml

@@ -355,9 +355,6 @@ tests:
 - class: org.elasticsearch.action.search.SearchQueryThenFetchAsyncActionTests
   method: testBottomFieldSort
   issue: https://github.com/elastic/elasticsearch/issues/118214
-- class: org.elasticsearch.xpack.searchablesnapshots.RetrySearchIntegTests
-  method: testRetryPointInTime
-  issue: https://github.com/elastic/elasticsearch/issues/120442
 - class: org.elasticsearch.xpack.inference.DefaultEndPointsIT
   method: testMultipleInferencesTriggeringDownloadAndDeploy
   issue: https://github.com/elastic/elasticsearch/issues/117208
@@ -429,9 +426,6 @@ tests:
 - class: org.elasticsearch.smoketest.DocsClientYamlTestSuiteIT
   method: test {yaml=reference/cat/allocation/cat-allocation-example}
   issue: https://github.com/elastic/elasticsearch/issues/121976
-- class: org.elasticsearch.xpack.searchablesnapshots.RetrySearchIntegTests
-  method: testSearcherId
-  issue: https://github.com/elastic/elasticsearch/issues/118374
 - class: org.elasticsearch.xpack.security.authc.ldap.GroupMappingIT
   issue: https://github.com/elastic/elasticsearch/issues/121291
 - class: org.elasticsearch.xpack.esql.qa.multi_node.EsqlSpecIT

x-pack/plugin/searchable-snapshots/src/internalClusterTest/java/org/elasticsearch/xpack/searchablesnapshots/RetrySearchIntegTests.java

@@ -90,6 +90,7 @@ public void testSearcherId() throws Exception {
         for (String allocatedNode : allocatedNodes) {
             if (randomBoolean()) {
                 internalCluster().restartNode(allocatedNode);
+                ensureGreen(indexName);
             }
         }
         ensureGreen(indexName);
@@ -151,6 +152,7 @@ public void testRetryPointInTime() throws Exception {
             final Set<String> allocatedNodes = internalCluster().nodesInclude(indexName);
             for (String allocatedNode : allocatedNodes) {
                 internalCluster().restartNode(allocatedNode);
+                ensureGreen(indexName);
             }
             ensureGreen(indexName);
             assertNoFailuresAndResponse(