### 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 final String actionName;
        private final AtomicBoolean recoveryStarted;
        private final AtomicBoolean finalizeReceived;
        private final Runnable connectionBreaker;
        private final AtomicInteger blocksRemaining;
        private TransientReceiveRejected(
            String actionName,
            AtomicBoolean recoveryStarted,
            AtomicBoolean finalizeReceived,
            Runnable connectionBreaker
        ) {
            this.actionName = actionName;
            this.recoveryStarted = recoveryStarted;
            this.finalizeReceived = finalizeReceived;
            this.connectionBreaker = connectionBreaker;
            this.blocksRemaining = new AtomicInteger(randomIntBetween(1, 3));
        }
        @Override
        public void messageReceived(
            TransportRequestHandler<TransportRequest> handler,
            TransportRequest request,