### 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
public class IndexRecoveryIT extends AbstractIndexRecoveryIntegTestCase {
    private static final String INDEX_NAME = "test-idx-1";
    private static final String REPO_NAME = "test-repo-1";
    private static final String SNAP_NAME = "test-snap-1";
    private static final int MIN_DOC_COUNT = 500;
    private static final int MAX_DOC_COUNT = 1000;
    private static final int SHARD_COUNT = 1;
    private static final int REPLICA_COUNT = 0;
    @Override
    protected Collection<Class<? extends Plugin>> nodePlugins() {
        return CollectionUtils.appendToCopy(super.nodePlugins(), TestAnalysisPlugin.class);
    }
    @Override
    protected void beforeIndexDeletion() throws Exception {
        super.beforeIndexDeletion();
        internalCluster().assertConsistentHistoryBetweenTranslogAndLuceneIndex();
        internalCluster().assertSeqNos();
        internalCluster().assertSameDocIdsOnShards();