### CI Link

https://gradle-enterprise.elastic.co/s/bettqvfg5kyos

### Repro line

./gradlew ':server:internalClusterTest' --tests "org.elasticsearch.indices.recovery.IndexRecoveryIT.testTransientErrorsDuringRecoveryAreRetried" -Dtests.seed=4BDFC31A406EBDF9 -Dtests.locale=ga -Dtests.timezone=America/Atikokan -Druntime.java=19	

### Does it reproduce?

Didn't try

### Applicable branches

main

### Failure history

https://gradle-enterprise.elastic.co/scans/tests?search.timeZoneId=Europe/Rome&tests.container=org.elasticsearch.indices.recovery.IndexRecoveryIT&tests.test=testTransientErrorsDuringRecoveryAreRetried

### Failure excerpt

```
java.lang.AssertionError: timed out waiting for green state
```

Call to `ensureGreen()` times out before being able to reach a stable cluster state.
server/src/internalClusterTest/java/org/elasticsearch/indices/recovery/IndexRecoveryIT.java
final String nodeC = internalCluster().startNode();
        ReplicaShardAllocatorIT.ensureActivePeerRecoveryRetentionLeasesAdvanced(INDEX_NAME);
        
        CountDownLatch phase1ReadyBlocked = new CountDownLatch(1);
        CountDownLatch allowToCompletePhase1Latch = new CountDownLatch(1);
        MockTransportService transportService = (MockTransportService) internalCluster().getInstance(TransportService.class, nodeA);
        transportService.addSendBehavior((connection, requestId, action, request, options) -> {
            if (PeerRecoveryTargetService.Actions.CLEAN_FILES.equals(action)) {
                phase1ReadyBlocked.countDown();
                try {
                    allowToCompletePhase1Latch.await();
                } catch (InterruptedException e) {
                    throw new AssertionError(e);
                }
            }
            connection.sendRequest(requestId, action, request, options);
        });
        logger.info("--> restart node B");
        internalCluster().restartNode(nodeB, new InternalTestCluster.RestartCallback() {
            @Override
            public Settings onNodeStopped(String nodeName) throws Exception {
                phase1ReadyBlocked.await();
                
                RecoveryResponse response = client().admin().indices().prepareRecoveries(INDEX_NAME).execute().actionGet();
                List<RecoveryState> recoveryStates = response.shardRecoveryStates().get(INDEX_NAME);
                List<RecoveryState> nodeCRecoveryStates = findRecoveriesForTargetNode(nodeC, recoveryStates);
                assertThat(nodeCRecoveryStates.size(), equalTo(1));
                assertOnGoingRecoveryState(nodeCRecoveryStates.get(0), 0, PeerRecoverySource.INSTANCE, false, nodeA, nodeC);
                validateIndexRecoveryState(nodeCRecoveryStates.get(0).getIndex());
                return super.onNodeStopped(nodeName);