**Build scan:**
https://gradle-enterprise.elastic.co/s/lyd5ltt6zzsl2/tests/:server:internalClusterTest/org.elasticsearch.indices.recovery.IndexRecoveryIT/testWaitForClusterStateToBeAppliedOnSourceNode
**Reproduction line:**
```
./gradlew ':server:internalClusterTest' --tests "org.elasticsearch.indices.recovery.IndexRecoveryIT.testWaitForClusterStateToBeAppliedOnSourceNode" -Dtests.seed=8E44E372E8917682 -Dtests.locale=es-SV -Dtests.timezone=MET -Druntime.java=21
```

**Applicable branches:**
main

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

**Failure history:**
https://gradle-enterprise.elastic.co/scans/tests?tests.container=org.elasticsearch.indices.recovery.IndexRecoveryIT&tests.test=testWaitForClusterStateToBeAppliedOnSourceNode
**Failure excerpt:**
```
java.lang.AssertionError: timed out waiting for green state

  at org.junit.Assert.fail(Assert.java:88)
  at org.elasticsearch.test.ESIntegTestCase.ensureColor(ESIntegTestCase.java:1003)
  at org.elasticsearch.test.ESIntegTestCase.ensureGreen(ESIntegTestCase.java:927)
  at org.elasticsearch.test.ESIntegTestCase.ensureGreen(ESIntegTestCase.java:916)
  at org.elasticsearch.indices.recovery.IndexRecoveryIT.testWaitForClusterStateToBeAppliedOnSourceNode(IndexRecoveryIT.java:1695)
  at jdk.internal.reflect.DirectMethodHandleAccessor.invoke(DirectMethodHandleAccessor.java:103)
  at java.lang.reflect.Method.invoke(Method.java:580)
  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:1583)

```
server/src/internalClusterTest/java/org/elasticsearch/indices/recovery/IndexRecoveryIT.java
.get();
            assertThat(nodesStatsResponse.getNodes(), hasSize(1));
            NodeStats nodeStats = nodesStatsResponse.getNodes().get(0);
            final RecoveryStats recoveryStats = nodeStats.getIndices().getRecoveryStats();
            assertThat(recoveryStats.currentAsSource(), equalTo(0));
            assertThat(recoveryStats.currentAsTarget(), equalTo(0));
            assertThat(nodeName + " throttling should be >0", recoveryStats.throttleTime().millis(), greaterThan(0L));
        };
        
        
        assertBusy(() -> assertNodeHasThrottleTimeAndNoRecoveries.accept(nodeA));
        assertBusy(() -> assertNodeHasThrottleTimeAndNoRecoveries.accept(nodeB));
        logger.info("--> bump replica count");
        setReplicaCount(1, INDEX_NAME);
        ensureGreen();
        assertBusy(() -> assertNodeHasThrottleTimeAndNoRecoveries.accept(nodeA));
        assertBusy(() -> assertNodeHasThrottleTimeAndNoRecoveries.accept(nodeB));
        logger.info("--> start node C");
        String nodeC = internalCluster().startNode();
        assertFalse(clusterAdmin().prepareHealth().setWaitForNodes("3").get().isTimedOut());
        logger.info("--> slowing down recoveries");
        slowDownRecovery(shardSize);
        logger.info("--> move replica shard from: {} to: {}", nodeA, nodeC);
        clusterAdmin().prepareReroute().add(new MoveAllocationCommand(INDEX_NAME, 0, nodeA, nodeC)).execute().actionGet().getState();
        response = indicesAdmin().prepareRecoveries(INDEX_NAME).execute().actionGet();
        recoveryStates = response.shardRecoveryStates().get(INDEX_NAME);
        nodeARecoveryStates = findRecoveriesForTargetNode(nodeA, recoveryStates);
        assertThat(nodeARecoveryStates.size(), equalTo(1));
        nodeBRecoveryStates = findRecoveriesForTargetNode(nodeB, recoveryStates);
        assertThat(nodeBRecoveryStates.size(), equalTo(1));