### 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
.setSettings(
                Settings.builder()
                    .put(IndexMetadata.SETTING_NUMBER_OF_SHARDS, 1)
                    .put(IndexMetadata.SETTING_NUMBER_OF_REPLICAS, 2)
                    .put(IndexSettings.FILE_BASED_RECOVERY_THRESHOLD_SETTING.getKey(), 1.0)
            )
            .get();
        ensureGreen(indexName);
        
        final List<IndexRequestBuilder> requests = new ArrayList<>();
        final int replicatedDocCount = scaledRandomIntBetween(25, 250);
        while (requests.size() < replicatedDocCount) {
            requests.add(client().prepareIndex(indexName).setSource("{}", XContentType.JSON));
        }
        indexRandom(true, requests);
        if (randomBoolean()) {
            flush(indexName);
        }
        String firstNodeToStop = randomFrom(internalCluster().getNodeNames());
        Settings firstNodeToStopDataPathSettings = internalCluster().dataPathSettings(firstNodeToStop);
        internalCluster().stopNode(firstNodeToStop);
        String secondNodeToStop = randomFrom(internalCluster().getNodeNames());
        Settings secondNodeToStopDataPathSettings = internalCluster().dataPathSettings(secondNodeToStop);
        internalCluster().stopNode(secondNodeToStop);
        final long desyncNanoTime = System.nanoTime();
        
        while (System.nanoTime() <= desyncNanoTime) {
            
        }
        final int numNewDocs = scaledRandomIntBetween(25, 250);