[FLINK-40231][tests] Fix flaky HistoryServerArchiveFetcherTest#testArchiveStateTransition

[snuyanzin]

What is the purpose of the change

The PR is to fix flaky HistoryServerArchiveFetcherTest like https://github.com/apache/flink/actions/runs/30072637092/job/89417915512

Brief change log

HistoryServerArchiveFetcherTest#testArchiveStateTransition

Verifying this change

GHA

Does this pull request potentially affect one of the following parts:

• Dependencies (does it add or upgrade a dependency): ( no)
• The public API, i.e., is any changed class annotated with @Public(Evolving): (no)
• The serializers: (no)
• The runtime per-record code paths (performance sensitive): (no)
• Anything that affects deployment or recovery: JobManager (and its components), Checkpointing, Kubernetes/Yarn, ZooKeeper: (no)
• The S3 file system connector: (no )

Documentation

• Does this pull request introduce a new feature? (no)
• If yes, how is the feature documented? (not applicable)

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Was generative AI tooling used to co-author this PR?

• Yes (please specify the tool below)

[snuyanzin]

@reswqa , @chenzihao5 can you please take a look here?

[snuyanzin]

I tested it in my fork's GHA https://github.com/snuyanzin/flink/actions/runs/30077718624

ran 5 times and historyserver test was always green

[flinkbot]

CI report:

• 0791373 Azure: SUCCESS

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