[FLINK-36718] Add CompiledPlan annotations to BatchExecLookupJoin

[jnh5y]

What is the purpose of the change

• Adds Compiled Plan annotations to BatchExecLookupJoin.
• Tests the new annotations with the existing TestPrograms.

Verifying this change

This change adds a BatchRestoreTest to cover the new annotations and show that the batch compiled plan can be restored and executed correctly.

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: (yes)
• 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:

• 99ad2b8 Azure: SUCCESS

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[snuyanzin]

Thanks for the contribution
it looks good to me
I have one minor comment