### 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
if (action.equals(PeerRecoveryTargetService.Actions.FILES_INFO)) {
                if (fileInfoIntercepted.compareAndSet(false, true)) {
                    final NodeIndicesStats nodeIndicesStats = client().admin()
                        .cluster()
                        .prepareNodesStats(connection.getNode().getId())
                        .clear()
                        .setIndices(new CommonStatsFlags(CommonStatsFlags.Flag.Store))
                        .get()
                        .getNodes()
                        .get(0)
                        .getIndices();
                    assertThat(nodeIndicesStats.getStore().getReservedSize().getBytes(), equalTo(0L));
                    assertThat(
                        nodeIndicesStats.getShardStats(clusterState.metadata().index(indexName).getIndex())
                            .stream()
                            .flatMap(s -> Arrays.stream(s.getShards()))
                            .map(s -> s.getStats().getStore().getReservedSize().getBytes())
                            .toList(),
                        everyItem(equalTo(StoreStats.UNKNOWN_RESERVED_BYTES))
                    );
                }
            } else if (action.equals(PeerRecoveryTargetService.Actions.FILE_CHUNK)) {
                if (fileChunkIntercepted.compareAndSet(false, true)) {
                    assertThat(
                        client().admin()
                            .cluster()
                            .prepareNodesStats(connection.getNode().getId())
                            .clear()
                            .setIndices(new CommonStatsFlags(CommonStatsFlags.Flag.Store))
                            .get()