**Build scan:**
https://gradle-enterprise.elastic.co/s/lxlsgu3jfzm46/tests/:server:test/org.elasticsearch.cluster.coordination.ElectionSchedulerFactoryTests/testRetriesOnCorrectSchedule

**Reproduction line:**
```
gradlew ':server:test' --tests "org.elasticsearch.cluster.coordination.ElectionSchedulerFactoryTests.testRetriesOnCorrectSchedule" -Dtests.seed=9E122BD7EF10E7BD -Dtests.locale=it-IT -Dtests.timezone=Arctic/Longyearbyen -Druntime.java=20
```

**Applicable branches:**
main

**Reproduces locally?:**
Yes

**Failure history:**
https://gradle-enterprise.elastic.co/scans/tests?tests.container=org.elasticsearch.cluster.coordination.ElectionSchedulerFactoryTests&tests.test=testRetriesOnCorrectSchedule

**Failure excerpt:**
```
java.lang.AssertionError: expected to see 1000 retries message but did not
Expected: <true>
     but: was <false>

  at __randomizedtesting.SeedInfo.seed([9E122BD7EF10E7BD:25AEEF51ADC12C72]:0)
  at org.hamcrest.MatcherAssert.assertThat(MatcherAssert.java:18)
  at org.elasticsearch.test.MockLogAppender$SeenEventExpectation.assertMatched(MockLogAppender.java:127)
  at org.elasticsearch.test.MockLogAppender$WrappedLoggingExpectation.assertMatched(MockLogAppender.java:231)
  at org.elasticsearch.test.MockLogAppender.assertAllExpectationsMatched(MockLogAppender.java:61)
  at org.elasticsearch.cluster.coordination.ElectionSchedulerFactoryTests.assertElectionSchedule(ElectionSchedulerFactoryTests.java:127)
  at org.elasticsearch.cluster.coordination.ElectionSchedulerFactoryTests.testRetriesOnCorrectSchedule(ElectionSchedulerFactoryTests.java:179)
  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)

```
server/src/test/java/org/elasticsearch/cluster/coordination/ElectionSchedulerFactoryTests.java
);
        }
        {
            final Settings settings = Settings.builder().put(ELECTION_MAX_TIMEOUT_SETTING.getKey(), "199ms").build();
            IllegalArgumentException e = expectThrows(IllegalArgumentException.class, () -> ELECTION_MAX_TIMEOUT_SETTING.get(settings));
            assertThat(e.getMessage(), is("failed to parse value [199ms] for setting [cluster.election.max_timeout], must be >= [200ms]"));
        }
        {
            final Settings settings = Settings.builder().put(ELECTION_MAX_TIMEOUT_SETTING.getKey(), "601s").build();
            IllegalArgumentException e = expectThrows(IllegalArgumentException.class, () -> ELECTION_MAX_TIMEOUT_SETTING.get(settings));
            assertThat(e.getMessage(), is("failed to parse value [601s] for setting [cluster.election.max_timeout], must be <= [600s]"));
        }
        {
            final long initialTimeoutMillis = randomLongBetween(1, 10000);
            final long backOffMillis = randomLongBetween(1, 60000);
            final long maxTimeoutMillis = randomLongBetween(Math.max(200, initialTimeoutMillis), 180000);
            final Settings settings = Settings.builder()
                .put(ELECTION_INITIAL_TIMEOUT_SETTING.getKey(), initialTimeoutMillis + "ms")
                .put(ELECTION_BACK_OFF_TIME_SETTING.getKey(), backOffMillis + "ms")
                .put(ELECTION_MAX_TIMEOUT_SETTING.getKey(), maxTimeoutMillis + "ms")
                .build();
            assertThat(ELECTION_INITIAL_TIMEOUT_SETTING.get(settings), is(TimeValue.timeValueMillis(initialTimeoutMillis)));
            assertThat(ELECTION_BACK_OFF_TIME_SETTING.get(settings), is(TimeValue.timeValueMillis(backOffMillis)));
            assertThat(ELECTION_MAX_TIMEOUT_SETTING.get(settings), is(TimeValue.timeValueMillis(maxTimeoutMillis)));
            assertThat(new ElectionSchedulerFactory(settings, random(), null), not(nullValue())); 
        }
        {
            final long initialTimeoutMillis = randomLongBetween(201, 10000);
            final long maxTimeoutMillis = randomLongBetween(200, initialTimeoutMillis - 1);
            final Settings settings = Settings.builder()