### 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
private static final String REPO_NAME = "test-repo-1";
    private static final String SNAP_NAME = "test-snap-1";
    @Override
    protected Collection<Class<? extends Plugin>> nodePlugins() {
        return Arrays.asList(
            MockTransportService.TestPlugin.class,
            MockFSIndexStore.TestPlugin.class,
            RecoverySettingsChunkSizePlugin.class,
            InternalSettingsPlugin.class,
            MockEngineFactoryPlugin.class
        );
    }
    @Override
    protected void beforeIndexDeletion() throws Exception {
        super.beforeIndexDeletion();
        internalCluster().assertConsistentHistoryBetweenTranslogAndLuceneIndex();
        internalCluster().assertSeqNos();
        internalCluster().assertSameDocIdsOnShards();
    }
    protected void checkTransientErrorsDuringRecoveryAreRetried(String recoveryActionToBlock) throws Exception {
        final String indexName = "test";
        final Settings nodeSettings = Settings.builder()
            .put(RecoverySettings.INDICES_RECOVERY_RETRY_DELAY_NETWORK_SETTING.getKey(), "100ms")
            .put(NodeConnectionsService.CLUSTER_NODE_RECONNECT_INTERVAL_SETTING.getKey(), "500ms")
            .put(RecoverySettings.INDICES_RECOVERY_INTERNAL_ACTION_TIMEOUT_SETTING.getKey(), "10s")
            .build();
        
        internalCluster().startNode(nodeSettings);
        final String blueNodeName = internalCluster().startNode(
            Settings.builder().put("node.attr.color", "blue").put(nodeSettings).build()