server: fix flaky test TestPlanReplayerWithMultiForeignKey (#64942)

[ti-chi-bot]

This is an automated cherry-pick of #64942

What problem does this PR solve?

Issue Number: close #56735

Problem Summary:

What changed and how does it work?

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]

This cherry pick PR is for a release branch and has not yet been approved by triage owners.
Adding the do-not-merge/cherry-pick-not-approved label.

To merge this cherry pick:

1. It must be LGTMed and approved by the reviewers firstly.
2. For pull requests to TiDB-x branches, it must have no failed tests.
3. AFTER it has lgtm and approved labels, please wait for the cherry-pick merging approval from triage owners.

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[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: AilinKid, qw4990

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-12-18 08:45:35.550266455 +0000 UTC m=+1721880.364044027: ☑️ agreed by qw4990.
• 2025-12-18 08:46:59.835890361 +0000 UTC m=+1721964.649667943: ☑️ agreed by AilinKid.

[hawkingrei]

/retest

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
⚠️ Please upload report for BASE (release-8.5@61e61dc). Learn more about missing BASE report.

Additional details and impacted files

@@               Coverage Diff                @@
##             release-8.5     #65120   +/-   ##
================================================
  Coverage               ?   49.6762%           
================================================
  Files                  ?       1592           
  Lines                  ?     453035           
  Branches               ?          0           
================================================
  Hits                   ?     225051           
  Misses                 ?     207399           
  Partials               ?      20585           

Flag	Coverage Δ
integration	49.6762% <ø> (?)

Flags with carried forward coverage won't be shown. Click here to find out more.

Components	Coverage Δ
dumpling	∅ <0.0000%> (?)
parser	∅ <0.0000%> (?)
br	35.9743% <0.0000%> (?)

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[lance6716]

/retest

[ti-chi-bot]

@ti-chi-bot: The following test failed, say /retest to rerun all failed tests or /retest-required to rerun all mandatory failed tests:

Test name	Commit	Details	Required	Rerun command
idc-jenkins-ci-tidb/unit-test	67d8d77	link	true	/test unit-test

Full PR test history. Your PR dashboard.

Details

Instructions for interacting with me using PR comments are available here. If you have questions or suggestions related to my behavior, please file an issue against the kubernetes-sigs/prow repository. I understand the commands that are listed here.