[FLINK-38956][runtime-web] Fix the job-overview Web UI cannot automatically show the latest edge name for AdaptiveScheduler

[RocMarshal]

What is the purpose of the change

[FLINK-38956][runtime-web] Fix the job-overview Web UI cannot automatically show the latest edge name for AdaptiveScheduler

Brief change log

Update the job graph refresh logic.

Verifying this change

Checked it locally.

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

• Dependencies (does it add or upgrade a dependency): (yes / no)
• The public API, i.e., is any changed class annotated with @Public(Evolving): (yes / no)
• The serializers: (yes / no / don't know)
• The runtime per-record code paths (performance sensitive): (yes / no / don't know)
• Anything that affects deployment or recovery: JobManager (and its components), Checkpointing, Kubernetes/Yarn, ZooKeeper: (yes / no / don't know)
• The S3 file system connector: (yes / no / don't know)

Documentation

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

[flinkbot]

CI report:

• 7f72cc8 Azure: SUCCESS

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[davidradl]

I am not an expert at typescript so this could be a dumb question. if we do not need to update the graph, do we need to update the this. fields. Can we move these lines to into the if (graphNeedsRefresh) { block? Or do these fields need updating when graphNeedsRefresh is false?