[FLINK-33896] Implement restore tests for Correlate node

[bvarghese1]

What is the purpose of the change

Add restore tests for Correlate node

Verifying this change

This change added tests and can be verified as follows:

• Added restore tests for Correlate node which verifies the generated compiled plan with the saved compiled plan.

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)

[flinkbot]

CI report:

• a30cef5 Azure: SUCCESS

Bot commands

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• @flinkbot run azure re-run the last Azure build

[dawidwys]

LGTM