**Build scan:**
https://gradle-enterprise.elastic.co/s/d3cfn2jnvzye4/tests/:server:internalClusterTest/org.elasticsearch.indices.recovery.IndexRecoveryIT/testRerouteRecovery

**Reproduction line:**
```
./gradlew ':server:internalClusterTest' --tests "org.elasticsearch.indices.recovery.IndexRecoveryIT.testRerouteRecovery" -Dtests.seed=D90D29B7DAB2BC89 -Dtests.locale=fr-LU -Dtests.timezone=Australia/Lord_Howe -Druntime.java=21
```

**Applicable branches:**
main

**Reproduces locally?:**
Didn't try
UPDATE:
Does not reproduces locally on my Mac, but does on a remote cloud host running
```
./gradlew ':server:internalClusterTest' --tests "org.elasticsearch.indices.recovery.IndexRecoveryIT.testRerouteRecovery" -Dtests.iters=100 -Dtests.failfast=true
```

**Failure history:**
https://gradle-enterprise.elastic.co/scans/tests?tests.container=org.elasticsearch.indices.recovery.IndexRecoveryIT&tests.test=testRerouteRecovery

**Failure excerpt:**
```
java.lang.AssertionError: node A throttling should increase
Expected: a value greater than <0L>
     but: <0L> was equal to <0L>

  at __randomizedtesting.SeedInfo.seed([D90D29B7DAB2BC89:74A69AE3EFEADECB]:0)
  at org.hamcrest.MatcherAssert.assertThat(MatcherAssert.java:18)
  at org.junit.Assert.assertThat(Assert.java:956)
  at org.elasticsearch.indices.recovery.IndexRecoveryIT.lambda$testRerouteRecovery$2(IndexRecoveryIT.java:519)
  at org.elasticsearch.test.ESTestCase.assertBusy(ESTestCase.java:1196)
  at org.elasticsearch.test.ESTestCase.assertBusy(ESTestCase.java:1169)
  at org.elasticsearch.indices.recovery.IndexRecoveryIT.testRerouteRecovery(IndexRecoveryIT.java:510)
  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
validateIndexRecoveryState(nodeARecoveryStates.get(0).getIndex());
        assertOnGoingRecoveryState(nodeBRecoveryStates.get(0), 0, PeerRecoverySource.INSTANCE, true, nodeA, nodeB);
        validateIndexRecoveryState(nodeBRecoveryStates.get(0).getIndex());
        logger.info("--> request node recovery stats");
        NodesStatsResponse statsResponse = clusterAdmin().prepareNodesStats()
            .clear()
            .setIndices(new CommonStatsFlags(CommonStatsFlags.Flag.Recovery))
            .get();
        long nodeAThrottling = Long.MAX_VALUE;
        long nodeBThrottling = Long.MAX_VALUE;
        for (NodeStats nodeStats : statsResponse.getNodes()) {
            final RecoveryStats recoveryStats = nodeStats.getIndices().getRecoveryStats();
            if (nodeStats.getNode().getName().equals(nodeA)) {
                assertThat("node A should have ongoing recovery as source", recoveryStats.currentAsSource(), equalTo(1));
                assertThat("node A should not have ongoing recovery as target", recoveryStats.currentAsTarget(), equalTo(0));
                nodeAThrottling = recoveryStats.throttleTime().millis();
            }
            if (nodeStats.getNode().getName().equals(nodeB)) {
                assertThat("node B should not have ongoing recovery as source", recoveryStats.currentAsSource(), equalTo(0));
                assertThat("node B should have ongoing recovery as target", recoveryStats.currentAsTarget(), equalTo(1));
                nodeBThrottling = recoveryStats.throttleTime().millis();
            }
        }
        logger.info("--> checking throttling increases");
        final long finalNodeAThrottling = nodeAThrottling;
        final long finalNodeBThrottling = nodeBThrottling;
        assertBusy(() -> {
            NodesStatsResponse statsResponse1 = clusterAdmin().prepareNodesStats()
                .clear()
                .setIndices(new CommonStatsFlags(CommonStatsFlags.Flag.Recovery))