### 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
Stage stage,
        String sourceNode,
        String targetNode
    ) {
        assertRecoveryStateWithoutStage(state, shardId, type, primary, sourceNode, targetNode);
        assertThat(state.getStage(), equalTo(stage));
    }
    private void assertOnGoingRecoveryState(
        RecoveryState state,
        int shardId,
        RecoverySource type,
        boolean primary,
        String sourceNode,
        String targetNode
    ) {
        assertRecoveryStateWithoutStage(state, shardId, type, primary, sourceNode, targetNode);
        assertThat(state.getStage(), not(equalTo(Stage.DONE)));
    }
    private void slowDownRecovery(ByteSizeValue shardSize) {
        long chunkSize = Math.max(1, shardSize.getBytes() / 10);
        assertTrue(
            client().admin()
                .cluster()
                .prepareUpdateSettings()
                .setPersistentSettings(
                    Settings.builder()
                        
                        .put(RecoverySettings.INDICES_RECOVERY_MAX_BYTES_PER_SEC_SETTING.getKey(), chunkSize, ByteSizeUnit.BYTES)
                        
                        .put(CHUNK_SIZE_SETTING.getKey(), new ByteSizeValue(chunkSize, ByteSizeUnit.BYTES))