statistics: add recover to protect background task (#58739)

[ti-chi-bot]

This is an automated cherry-pick of #58739

What problem does this PR solve?

Issue Number: close #58738

ref #58715

Problem Summary:

What changed and how does it work?

#58715 bug will panic in the background. it will make this background exiting and cannot restart it. it will lead many critical bug. so we need to add recover to protect the background thread.

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

[hawkingrei]

/retest

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

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

The full list of commands accepted by this bot can be found here.

The pull request process is described here

Needs approval from an approver in each of these files:

• OWNERS [hawkingrei,qw4990]

Approvers can indicate their approval by writing /approve in a comment
Approvers can cancel approval by writing /approve cancel in a comment

[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-02-05 10:09:55.682397315 +0000 UTC m=+266467.214809310: ☑️ agreed by hawkingrei.
• 2025-02-05 11:00:52.051769185 +0000 UTC m=+269523.584181183: ☑️ agreed by qw4990.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Please upload report for BASE (release-6.5@896c0c1). Learn more about missing BASE report.

Additional details and impacted files

@@               Coverage Diff                @@
##             release-6.5     #58763   +/-   ##
================================================
  Coverage               ?   73.6945%           
================================================
  Files                  ?       1097           
  Lines                  ?     353193           
  Branches               ?          0           
================================================
  Hits                   ?     260284           
  Misses                 ?      76192           
  Partials               ?      16717