### 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.
test/framework/src/main/java/org/elasticsearch/indices/recovery/AbstractIndexRecoveryIntegTestCase.java
* Side Public License, v 1.
 */
package org.elasticsearch.indices.recovery;
import org.elasticsearch.action.admin.cluster.health.ClusterHealthResponse;
import org.elasticsearch.action.admin.cluster.snapshots.create.CreateSnapshotResponse;
import org.elasticsearch.action.admin.cluster.state.ClusterStateResponse;
import org.elasticsearch.action.admin.indices.forcemerge.ForceMergeResponse;
import org.elasticsearch.action.admin.indices.stats.ShardStats;
import org.elasticsearch.action.index.IndexRequestBuilder;
import org.elasticsearch.action.search.SearchResponse;
import org.elasticsearch.cluster.NodeConnectionsService;
import org.elasticsearch.cluster.action.shard.ShardStateAction;
import org.elasticsearch.cluster.metadata.IndexMetadata;
import org.elasticsearch.cluster.service.ClusterService;
import org.elasticsearch.common.Strings;
import org.elasticsearch.common.breaker.CircuitBreaker;
import org.elasticsearch.common.breaker.CircuitBreakingException;
import org.elasticsearch.common.settings.Settings;
import org.elasticsearch.common.util.concurrent.EsRejectedExecutionException;
import org.elasticsearch.core.TimeValue;
import org.elasticsearch.index.MockEngineFactoryPlugin;
import org.elasticsearch.index.shard.ShardId;
import org.elasticsearch.node.RecoverySettingsChunkSizePlugin;
import org.elasticsearch.plugins.Plugin;
import org.elasticsearch.repositories.blobstore.BlobStoreRepository;
import org.elasticsearch.snapshots.SnapshotState;
import org.elasticsearch.tasks.Task;
import org.elasticsearch.test.ESIntegTestCase;
import org.elasticsearch.test.InternalSettingsPlugin;
import org.elasticsearch.test.store.MockFSIndexStore;