statistics: rightly deal with timout when to send sync load (#57712)

[ti-chi-bot]

This is an automated cherry-pick of #57712

What problem does this PR solve?

Issue Number: close #57710

Problem Summary:

What changed and how does it work?

in the origin code, we can not check the timeout after sending the sync load. so it will block the sending sync load and take too much time.

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.

rightly deal with timout when to send sync load

正确处理发送 sync load 的超时

[hawkingrei]

/retest

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: hawkingrei, winoros

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[winoros]

/retest

[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2024-12-02 03:05:17.91101011 +0000 UTC m=+1037705.530664621: ☑️ agreed by hawkingrei.
• 2024-12-04 17:57:07.592055917 +0000 UTC m=+1264015.211710433: ☑️ agreed by winoros.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Please upload report for BASE (release-8.1@e2da796). Learn more about missing BASE report.

Additional details and impacted files

@@               Coverage Diff                @@
##             release-8.1     #57750   +/-   ##
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Flag	Coverage Δ
unit	71.1987% <100.0000%> (?)

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Components	Coverage Δ
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parser	∅ <0.0000%> (?)
br	41.2916% <0.0000%> (?)