Similar to https://github.com/elastic/elasticsearch/issues/93504 but now not related to ML.

Marking it for Delivery team due to PR https://github.com/elastic/elasticsearch/pull/93477 that may be related

**Build scan:**
https://gradle-enterprise.elastic.co/s/alt6kcpebfsdk/tests/:x-pack:qa:full-cluster-restart:v8.7.0%23bwcTest/org.elasticsearch.xpack.restart.FullClusterRestartIT

**Reproduction line:**
```
null
```

**Applicable branches:**
8.7

**Reproduces locally?:**
Didn't try

**Failure history:**
https://gradle-enterprise.elastic.co/scans/tests?tests.container=org.elasticsearch.xpack.restart.FullClusterRestartIT&tests.test=classMethod

**Failure excerpt:**
```
java.lang.RuntimeException: An error occurred orchestrating test cluster.

  at __randomizedtesting.SeedInfo.seed([CEDA55DA1CD14E93]:0)
  at org.elasticsearch.test.cluster.local.LocalClusterHandle.execute(LocalClusterHandle.java:225)
  at org.elasticsearch.test.cluster.local.LocalClusterHandle.writeUnicastHostsFile(LocalClusterHandle.java:206)
  at org.elasticsearch.test.cluster.local.LocalClusterHandle.waitUntilReady(LocalClusterHandle.java:149)
  at org.elasticsearch.test.cluster.local.LocalClusterHandle.start(LocalClusterHandle.java:70)
  at org.elasticsearch.test.cluster.local.LocalElasticsearchCluster$1.evaluate(LocalElasticsearchCluster.java:38)
  at org.apache.lucene.tests.util.AbstractBeforeAfterRule$1.evaluate(AbstractBeforeAfterRule.java:43)
  at com.carrotsearch.randomizedtesting.rules.StatementAdapter.evaluate(StatementAdapter.java:36)
  at org.apache.lucene.tests.util.TestRuleStoreClassName$1.evaluate(TestRuleStoreClassName.java:38)
  at com.carrotsearch.randomizedtesting.rules.NoShadowingOrOverridesOnMethodsRule$1.evaluate(NoShadowingOrOverridesOnMethodsRule.java:40)
  at com.carrotsearch.randomizedtesting.rules.NoShadowingOrOverridesOnMethodsRule$1.evaluate(NoShadowingOrOverridesOnMethodsRule.java:40)
  at com.carrotsearch.randomizedtesting.rules.StatementAdapter.evaluate(StatementAdapter.java:36)
  at com.carrotsearch.randomizedtesting.rules.StatementAdapter.evaluate(StatementAdapter.java:36)
  at org.apache.lucene.tests.util.TestRuleAssertionsRequired$1.evaluate(TestRuleAssertionsRequired.java:53)
  at org.apache.lucene.tests.util.AbstractBeforeAfterRule$1.evaluate(AbstractBeforeAfterRule.java:43)
  at org.apache.lucene.tests.util.TestRuleMarkFailure$1.evaluate(TestRuleMarkFailure.java:44)
  at org.apache.lucene.tests.util.TestRuleIgnoreAfterMaxFailures$1.evaluate(TestRuleIgnoreAfterMaxFailures.java:60)
  at org.apache.lucene.tests.util.TestRuleIgnoreTestSuites$1.evaluate(TestRuleIgnoreTestSuites.java:47)
  at com.carrotsearch.randomizedtesting.rules.StatementAdapter.evaluate(StatementAdapter.java:36)
  at com.carrotsearch.randomizedtesting.ThreadLeakControl$StatementRunner.run(ThreadLeakControl.java:390)
  at com.carrotsearch.randomizedtesting.ThreadLeakControl.lambda$forkTimeoutingTask$0(ThreadLeakControl.java:850)
  at java.lang.Thread.run(Thread.java:833)

  Caused by: java.lang.RuntimeException: Elasticsearch process died while waiting for ports file. See console output for details.

    at org.elasticsearch.test.cluster.local.LocalClusterFactory$Node.lambda$waitUntilReady$0(LocalClusterFactory.java:201)
    at org.elasticsearch.test.cluster.util.Retry.lambda$retryUntilTrue$0(Retry.java:33)
    at org.elasticsearch.test.cluster.util.Retry.lambda$getValueWithTimeout$1(Retry.java:47)
    at java.util.concurrent.CompletableFuture$AsyncSupply.run(CompletableFuture.java:1768)
    at java.lang.Thread.run(Thread.java:833)

```
test/test-clusters/src/main/java/org/elasticsearch/test/cluster/local/LocalClusterFactory.java
+ "'. Ensure you've added the following to the build script for project '"
                            + project
                            + "':\n\n"
                            + "dependencies {\n"
                            + "  clusterModules "
                            + moduleDependency
                            + "\n}"
                    );
                });
                IOUtils.syncWithCopy(modulePath, destination);
                
                Properties pluginProperties = new Properties();
                try (
                    InputStream in = new BufferedInputStream(
                        new FileInputStream(modulePath.resolve("plugin-descriptor.properties").toFile())
                    )
                ) {
                    pluginProperties.load(in);
                    String extendedProperty = pluginProperties.getProperty("extended.plugins");
                    if (extendedProperty != null) {
                        String[] extendedPlugins = extendedProperty.split(",");
                        for (String plugin : extendedPlugins) {
                            installModule(plugin, modulePaths);
                        }
                    }
                } catch (IOException e) {
                    throw new UncheckedIOException(e);
                }
            }
        }