statistics: upgrade stats timeout checkpoint after it timeouts (#52424)

[ti-chi-bot]

This is an automated cherry-pick of #52424

What problem does this PR solve?

Issue Number: close #52425

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

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

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Additional details and impacted files

@@               Coverage Diff                @@
##             release-6.5     #52438   +/-   ##
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  Coverage               ?   73.6554%           
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  Files                  ?       1097           
  Lines                  ?     351784           
  Branches               ?          0           
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  Hits                   ?     259108           
  Misses                 ?      76034           
  Partials               ?      16642           

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

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

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• OWNERS [AilinKid,hawkingrei]

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2024-06-05 02:50:59.881123343 +0000 UTC m=+3436013.638258914: ☑️ agreed by hawkingrei.
• 2024-06-05 03:57:25.378024104 +0000 UTC m=+3439999.135159675: ☑️ agreed by AilinKid.