### 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
ClusterStateResponse stateResponse = client().admin().cluster().prepareState().get();
        final String blueNodeId = internalCluster().getInstance(ClusterService.class, blueNodeName).localNode().getId();
        assertFalse(stateResponse.getState().getRoutingNodes().node(blueNodeId).isEmpty());
        SearchResponse searchResponse = client().prepareSearch(indexName).get();
        assertHitCount(searchResponse, numDocs);
        logger.info("--> will temporarily interrupt recovery action between blue & red on [{}]", recoveryActionToBlock);
        if (recoveryActionToBlock.equals(PeerRecoveryTargetService.Actions.RESTORE_FILE_FROM_SNAPSHOT)) {
            createSnapshotThatCanBeUsedDuringRecovery(indexName);
        }
        MockTransportService blueTransportService = (MockTransportService) internalCluster().getInstance(
            TransportService.class,
            blueNodeName
        );
        MockTransportService redTransportService = (MockTransportService) internalCluster().getInstance(
            TransportService.class,
            redNodeName
        );
        final AtomicBoolean recoveryStarted = new AtomicBoolean(false);
        final AtomicBoolean finalizeReceived = new AtomicBoolean(false);
        final SingleStartEnforcer validator = new SingleStartEnforcer(indexName, recoveryStarted, finalizeReceived);
        redTransportService.addSendBehavior(blueTransportService, (connection, requestId, action, request, options) -> {
            validator.accept(action, request);
            connection.sendRequest(requestId, action, request, options);
        });
        Runnable connectionBreaker = () -> {
            
            logger.info("--> closing connections from source node to target node");
            blueTransportService.disconnectFromNode(redTransportService.getLocalDiscoNode());
            if (randomBoolean()) {