br: refactor test to use wait checkpoint method (#57612)

[ti-chi-bot]

This is an automated cherry-pick of #57612

What problem does this PR solve?

Issue Number: close #57609

Problem Summary:

What changed and how does it work?

Extract the wait for checkpoint to advance logic in integration test to a method

Check List

Tests

• Unit test
• Integration test
• Manual test (add detailed scripts or steps below)
• No need to test

  • I checked and no code files have been changed.

Side effects

• Performance regression: Consumes more CPU
• Performance regression: Consumes more Memory
• Breaking backward compatibility

Documentation

• Affects user behaviors
• Contains syntax changes
• Contains variable changes
• Contains experimental features
• Changes MySQL compatibility

Release note

Please refer to Release Notes Language Style Guide to write a quality release note.

None

[ti-chi-bot]

@Tristan1900 This PR has conflicts, I have hold it.
Please resolve them or ask others to resolve them, then comment /unhold to remove the hold label.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Please upload report for BASE (release-6.5@c5e26e9). Learn more about missing BASE report.

Additional details and impacted files

@@               Coverage Diff                @@
##             release-6.5     #59283   +/-   ##
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  Misses                 ?      75128           
  Partials               ?      16557           

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: 3pointer, BornChanger

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• OWNERS [3pointer]

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-02-13 07:41:21.582991727 +0000 UTC m=+515123.979213782: ☑️ agreed by BornChanger.
• 2025-02-14 04:14:59.323296316 +0000 UTC m=+589141.719518371: ☑️ agreed by 3pointer.

[Tristan1900]

/unhold