#94325 exposes some raciness in these tests that was hidden before.

**Build scan:**
https://gradle-enterprise.elastic.co/s/usugfk2dh6rti/tests/:x-pack:plugin:ilm:test/org.elasticsearch.xpack.ilm.IndexLifecycleRunnerTests/testRunStateChangePolicyWithNextStep

**Reproduction line:**
```
./gradlew ':x-pack:plugin:ilm:test' --tests "org.elasticsearch.xpack.ilm.IndexLifecycleRunnerTests.testRunStateChangePolicyWithNextStep" -Dtests.seed=58594895CA2093F1 -Dtests.locale=fr-BE -Dtests.timezone=US/Aleutian -Druntime.java=20
```

**Applicable branches:**
main

**Reproduces locally?:**
Yes

**Failure history:**
https://gradle-enterprise.elastic.co/scans/tests?tests.container=org.elasticsearch.xpack.ilm.IndexLifecycleRunnerTests&tests.test=testRunStateChangePolicyWithNextStep

**Failure excerpt:**
```
java.lang.AssertionError: failed to register ILM history

  at __randomizedtesting.SeedInfo.seed([58594895CA2093F1:CD17BBC3898946E8]:0)
  at org.elasticsearch.xpack.ilm.IndexLifecycleRunnerTests.lambda$testRunStateChangePolicyWithNextStep$11(IndexLifecycleRunnerTests.java:376)
  at java.util.Optional.orElseThrow(Optional.java:403)
  at org.elasticsearch.xpack.ilm.IndexLifecycleRunnerTests.testRunStateChangePolicyWithNextStep(IndexLifecycleRunnerTests.java:376)
  at jdk.internal.reflect.DirectMethodHandleAccessor.invoke(DirectMethodHandleAccessor.java:104)
  at java.lang.reflect.Method.invoke(Method.java:578)
  at com.carrotsearch.randomizedtesting.RandomizedRunner.invoke(RandomizedRunner.java:1758)
  at com.carrotsearch.randomizedtesting.RandomizedRunner$8.evaluate(RandomizedRunner.java:946)
  at com.carrotsearch.randomizedtesting.RandomizedRunner$9.evaluate(RandomizedRunner.java:982)
  at com.carrotsearch.randomizedtesting.RandomizedRunner$10.evaluate(RandomizedRunner.java:996)
  at com.carrotsearch.randomizedtesting.rules.StatementAdapter.evaluate(StatementAdapter.java:36)
  at org.apache.lucene.tests.util.TestRuleSetupTeardownChained$1.evaluate(TestRuleSetupTeardownChained.java:48)
  at org.apache.lucene.tests.util.AbstractBeforeAfterRule$1.evaluate(AbstractBeforeAfterRule.java:43)
  at org.apache.lucene.tests.util.TestRuleThreadAndTestName$1.evaluate(TestRuleThreadAndTestName.java:45)
  at org.apache.lucene.tests.util.TestRuleIgnoreAfterMaxFailures$1.evaluate(TestRuleIgnoreAfterMaxFailures.java:60)
  at org.apache.lucene.tests.util.TestRuleMarkFailure$1.evaluate(TestRuleMarkFailure.java:44)
  at com.carrotsearch.randomizedtesting.rules.StatementAdapter.evaluate(StatementAdapter.java:36)
  at com.carrotsearch.randomizedtesting.ThreadLeakControl$StatementRunner.run(ThreadLeakControl.java:390)
  at com.carrotsearch.randomizedtesting.ThreadLeakControl.forkTimeoutingTask(ThreadLeakControl.java:843)
  at com.carrotsearch.randomizedtesting.ThreadLeakControl$3.evaluate(ThreadLeakControl.java:490)
  at com.carrotsearch.randomizedtesting.RandomizedRunner.runSingleTest(RandomizedRunner.java:955)
  at com.carrotsearch.randomizedtesting.RandomizedRunner$5.evaluate(RandomizedRunner.java:840)
  at com.carrotsearch.randomizedtesting.RandomizedRunner$6.evaluate(RandomizedRunner.java:891)
  at com.carrotsearch.randomizedtesting.RandomizedRunner$7.evaluate(RandomizedRunner.java:902)
  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:1623)

```
test/framework/src/main/java/org/elasticsearch/test/ClusterServiceUtils.java
"mock_publish_to_self[" + clusterStatePublicationEvent.getSummary() + "]",
                clusterStatePublicationEvent::getNewState,
                publishListener
            );
        };
    }
    public static ClusterService createClusterService(ClusterState initialState, ThreadPool threadPool) {
        ClusterService clusterService = createClusterService(threadPool);
        setState(clusterService, initialState);
        return clusterService;
    }
    public static ClusterService createClusterService(ClusterState initialState, ThreadPool threadPool, ClusterSettings clusterSettings) {
        ClusterService clusterService = createClusterService(threadPool, clusterSettings);
        setState(clusterService, initialState);
        return clusterService;
    }
    public static void setState(ClusterService clusterService, ClusterState.Builder clusterStateBuilder) {
        setState(clusterService, clusterStateBuilder.build());
    }
    /**
     * Sets the state on the cluster applier service
     */
    public static void setState(ClusterService clusterService, ClusterState clusterState) {
        setState(clusterService.getClusterApplierService(), clusterState);
    }
    public static void setAllElapsedMillis(ClusterStatePublicationEvent clusterStatePublicationEvent) {
        clusterStatePublicationEvent.setPublicationContextConstructionElapsedMillis(0L);
        clusterStatePublicationEvent.setPublicationCommitElapsedMillis(0L);
        clusterStatePublicationEvent.setPublicationCompletionElapsedMillis(0L);
        clusterStatePublicationEvent.setMasterApplyElapsedMillis(0L);