### Elasticsearch Version

8.6.0-SNAPSHOT

### Installed Plugins

_No response_

### Java Version

_bundled_

### OS Version

N/A

### Problem Description

We see 8.6.0 master nodes (512MB heap) repeatedly dying with OOME when attempting to do a snapshot with GCS snapshot repository. This is not reproducible with prior versions and we suspect that this is caused by https://github.com/elastic/elasticsearch/pull/90282.

### Steps to Reproduce

1. Start a cluster in a containerized environment; master nodes have 1GB of memory, 512MB of heap
2. Setup a GCS snapshot repository
3. Create a snapshot of the cluster.
4. The master node will OOM with the following message:

```
[5383.050s][warning][gc,alloc] elasticsearch[i6][snapshot][T#26]: Retried waiting for GCLocker too often allocating 256 words
[5383.053s][warning][gc,alloc] elasticsearch[i6][snapshot][T#14]: Retried waiting for GCLocker too often allocating 1029 words
java.lang.OutOfMemoryError: Java heap space
```

### Logs (if relevant)

_No response_
server/src/test/java/org/elasticsearch/threadpool/ThreadPoolTests.java
appender.start();
        try {
            Loggers.addAppender(threadPoolLogger, appender);
            appender.addExpectation(
                new MockLogAppender.SeenEventExpectation(
                    "expected warning for absolute clock",
                    ThreadPool.class.getName(),
                    Level.WARN,
                    "timer thread slept for [*] on absolute clock which is above the warn threshold of [100ms]"
                )
            );
            appender.addExpectation(
                new MockLogAppender.SeenEventExpectation(
                    "expected warning for relative clock",
                    ThreadPool.class.getName(),
                    Level.WARN,
                    "timer thread slept for [*] on relative clock which is above the warn threshold of [100ms]"
                )
            );
            final ThreadPool.CachedTimeThread thread = new ThreadPool.CachedTimeThread("[timer]", 200, 100);
            thread.start();
            assertBusy(appender::assertAllExpectationsMatched);
            thread.interrupt();
            thread.join();
        } finally {
            Loggers.removeAppender(threadPoolLogger, appender);
            appender.stop();
        }
    }
    public void testTimeChangeChecker() throws Exception {