**Build scan:**
https://gradle-enterprise.elastic.co/s/xvwrlxusnxdgu/tests/:qa:rolling-upgrade:v8.6.1%23oneThirdUpgradedTest/org.elasticsearch.upgrades.SnapshotBasedRecoveryIT/testSnapshotBasedRecovery

**Reproduction line:**
```
./gradlew ':qa:rolling-upgrade:v8.6.1#oneThirdUpgradedTest' -Dtests.class="org.elasticsearch.upgrades.SnapshotBasedRecoveryIT" -Dtests.method="testSnapshotBasedRecovery" -Dtests.seed=32151106DB58AD22 -Dtests.bwc=true -Dtests.locale=en-MT -Dtests.timezone=Asia/Colombo -Druntime.java=17
```

**Applicable branches:**
main

**Reproduces locally?:**
Didn't try

**Failure history:**
https://gradle-enterprise.elastic.co/scans/tests?tests.container=org.elasticsearch.upgrades.SnapshotBasedRecoveryIT&tests.test=testSnapshotBasedRecovery

**Failure excerpt:**
```
java.lang.AssertionError: timed out waiting for green state for index [snapshot_based_recovery] cluster state [{
  "cluster_name" : "v8.6.1",
  "cluster_uuid" : "ETWjuovuQXC6pr6CN8pJXA",
  "version" : 391,
  "state_uuid" : "y7ss0aZLQvab9JIDk7jppg",
  "master_node" : "tsyOGVI1T5iBSTLS0zL29A",
  ...
```
server/src/main/java/org/elasticsearch/cluster/routing/allocation/allocator/DesiredBalanceComputer.java
hasChanges = false;
            for (final var routingNode : routingNodes) {
                for (final var shardRouting : routingNode) {
                    if (shardRouting.initializing()) {
                        hasChanges = true;
                        clusterInfoSimulator.simulateShardStarted(shardRouting);
                        routingNodes.startShard(logger, shardRouting, changes, 0L);
                        logger.trace("starting shard {}", shardRouting);
                    }
                }
            }
            i++;
            final int iterations = i;
            final long currentTime = threadPool.relativeTimeInMillis();
            final boolean reportByTime = nextReportTime <= currentTime;
            final boolean reportByIterationCount = i % iterationCountReportInterval == 0;
            if (reportByTime || reportByIterationCount) {
                nextReportTime = currentTime + timeWarningInterval;
            }
            if (hasChanges == false) {
                logger.debug(
                    "Desired balance computation for [{}] converged after [{}] and [{}] iterations",
                    desiredBalanceInput.index(),
                    TimeValue.timeValueMillis(currentTime - computationStartedTime).toString(),
                    i
                );
                break;
            }
            if (isFresh.test(desiredBalanceInput) == false) {