### 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
internalCluster().ensureAtLeastNumDataNodes(2);
        String indexName = "test-index";
        createIndex(
            indexName,
            Settings.builder()
                .put(IndexMetadata.SETTING_NUMBER_OF_SHARDS, 1)
                .put(IndexMetadata.SETTING_NUMBER_OF_REPLICAS, 1)
                .put(IndexSettings.INDEX_SOFT_DELETES_SETTING.getKey(), true)
                .put(UnassignedInfo.INDEX_DELAYED_NODE_LEFT_TIMEOUT_SETTING.getKey(), "12h")
                .build()
        );
        indexRandom(
            randomBoolean(),
            randomBoolean(),
            randomBoolean(),
            IntStream.range(0, between(0, 100)).mapToObj(n -> client().prepareIndex(indexName).setSource("num", n)).collect(toList())
        );
        ensureGreen(indexName);
        final ShardId shardId = new ShardId(resolveIndex(indexName), 0);
        final DiscoveryNodes discoveryNodes = clusterService().state().nodes();
        final IndexShardRoutingTable indexShardRoutingTable = clusterService().state().routingTable().shardRoutingTable(shardId);
        final IndexShard primary = internalCluster().getInstance(
            IndicesService.class,
            discoveryNodes.get(indexShardRoutingTable.primaryShard().currentNodeId()).getName()
        ).getShardOrNull(shardId);
        final ShardRouting replicaShardRouting = indexShardRoutingTable.replicaShards().get(0);
        internalCluster().restartNode(
            discoveryNodes.get(replicaShardRouting.currentNodeId()).getName(),
            new InternalTestCluster.RestartCallback() {
                @Override