### 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
for (int i = 0; i < numDocs; i++) {
            requests.add(client().prepareIndex(indexName).setSource("{}", XContentType.JSON));
        }
        indexRandom(true, requests);
        ensureSearchable(indexName);
        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);
        final boolean dropRequests = randomBoolean();
        logger.info("--> will {} between blue & red on [{}]", dropRequests ? "drop requests" : "break connection", recoveryActionToBlock);
        
        if (recoveryActionToBlock.equals(PeerRecoveryTargetService.Actions.RESTORE_FILE_FROM_SNAPSHOT)) {
            createSnapshotThatCanBeUsedDuringRecovery(indexName);
        }
        MockTransportService blueMockTransportService = (MockTransportService) internalCluster().getInstance(
            TransportService.class,
            blueNodeName
        );
        MockTransportService redMockTransportService = (MockTransportService) internalCluster().getInstance(
            TransportService.class,
            redNodeName
        );
        TransportService redTransportService = internalCluster().getInstance(TransportService.class, redNodeName);
        TransportService blueTransportService = internalCluster().getInstance(TransportService.class, blueNodeName);
        final CountDownLatch requestFailed = new CountDownLatch(1);
        if (randomBoolean()) {
            final StubbableTransport.SendRequestBehavior sendRequestBehavior = (connection, requestId, action, request, options) -> {
                if (recoveryActionToBlock.equals(action) || requestFailed.getCount() == 0) {