### 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
}
    private void assertRecoveryStateWithoutStage(
        RecoveryState state,
        int shardId,
        RecoverySource recoverySource,
        boolean primary,
        String sourceNode,
        String targetNode
    ) {
        assertThat(state.getShardId().getId(), equalTo(shardId));
        assertThat(state.getRecoverySource(), equalTo(recoverySource));
        assertThat(state.getPrimary(), equalTo(primary));
        if (sourceNode == null) {
            assertNull(state.getSourceNode());
        } else {
            assertNotNull(state.getSourceNode());
            assertThat(state.getSourceNode().getName(), equalTo(sourceNode));
        }
        if (targetNode == null) {
            assertNull(state.getTargetNode());
        } else {
            assertNotNull(state.getTargetNode());
            assertThat(state.getTargetNode().getName(), equalTo(targetNode));
        }
    }
    private void assertRecoveryState(
        RecoveryState state,
        int shardId,
        RecoverySource type,
        boolean primary,