### 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
List<RecoveryState> recoveryStates = response.shardRecoveryStates().get(INDEX_NAME);
        assertThat(recoveryStates.size(), equalTo(1));
        RecoveryState recoveryState = recoveryStates.get(0);
        assertRecoveryState(recoveryState, 0, RecoverySource.ExistingStoreRecoverySource.INSTANCE, true, Stage.DONE, null, node);
        validateIndexRecoveryState(recoveryState.getIndex());
    }
    public void testGatewayRecoveryTestActiveOnly() throws Exception {
        logger.info("--> start nodes");
        internalCluster().startNode();
        createAndPopulateIndex(INDEX_NAME, 1, SHARD_COUNT, REPLICA_COUNT);
        logger.info("--> restarting cluster");
        internalCluster().fullRestart();
        ensureGreen();
        logger.info("--> request recoveries");
        RecoveryResponse response = client().admin().indices().prepareRecoveries(INDEX_NAME).setActiveOnly(true).execute().actionGet();
        List<RecoveryState> recoveryStates = response.shardRecoveryStates().get(INDEX_NAME);
        assertThat(recoveryStates.size(), equalTo(0));  
    }
    public void testReplicaRecovery() throws Exception {
        final String nodeA = internalCluster().startNode();
        createIndex(
            INDEX_NAME,
            Settings.builder()
                .put(IndexMetadata.SETTING_NUMBER_OF_SHARDS, SHARD_COUNT)
                .put(IndexMetadata.SETTING_NUMBER_OF_REPLICAS, REPLICA_COUNT)
                .build()
        );
        ensureGreen(INDEX_NAME);
        final int numOfDocs = scaledRandomIntBetween(0, 200);
        try (BackgroundIndexer indexer = new BackgroundIndexer(INDEX_NAME, client(), numOfDocs)) {