[fix][broker] Fix the bug that elected leader thinks it's a follower

[nikhil-ctds]

Motivation

This PR cherry-pick the PR from apache/pulsar which fixes #23125.

Modifications

• Cherry-picked commits from branch-3.0 which are not present on 3.1_ds.

Verifying this change

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

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• Dependencies (does it add or upgrade a dependency): (no)
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• The schema: (no)
• The default values of configurations: (no)
• The wire protocol: (no)
• The rest endpoints: (no)
• The admin cli options: (no)
• Anything that affects deployment: (no)

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