[FLINK-36158][FOLLOWUP] Replace the ZK HA path from jobgraphs to execution-plans

[beliefer]

What is the purpose of the change

This PR aims to replace the ZK HA path from jobgraphs to execution-plans.
This PR also follows up #25492

Brief change log

Replace the ZK HA path from jobgraphs to execution-plans

Verifying this change

This change is a trivial rework / code cleanup without any test coverage.

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)

[beliefer]

ping @JunRuiLee @wangyang0918 @WencongLiu cc @1996fanrui @davidradl @GOODBOY008

[flinkbot]

CI report:

• d03b100 Azure: SUCCESS

Bot commands

The @flinkbot bot supports the following commands:

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

[github-actions]

This PR is being marked as stale since it has not had any activity in the last 90 days.
If you would like to keep this PR alive, please leave a comment asking for a review.
If the PR has merge conflicts, update it with the latest from the base branch.

If you are having difficulty finding a reviewer, please reach out to the
community, contact details can be found here: https://flink.apache.org/what-is-flink/community/

If this PR is no longer valid or desired, please feel free to close it.
If no activity occurs in the next 30 days, it will be automatically closed.

[beliefer]

ping @JunRuiLee @wangyang0918 @WencongLiu cc @1996fanrui @davidradl @GOODBOY008

[github-actions]

This PR is being marked as stale since it has not had any activity in the last 90 days.
If you would like to keep this PR alive, please leave a comment asking for a review.
If the PR has merge conflicts, update it with the latest from the base branch.

If you are having difficulty finding a reviewer, please reach out to the
community, contact details can be found here: https://flink.apache.org/what-is-flink/community/

If this PR is no longer valid or desired, please feel free to close it.
If no activity occurs in the next 30 days, it will be automatically closed.

[beliefer]

ping @JunRuiLee @wangyang0918 @WencongLiu cc @1996fanrui @davidradl @GOODBOY008