statistics: collect duration of failed stats cache sync

[hawkingrei]

What problem does this PR solve?

Issue Number: close #58797

Problem Summary:

What changed and how does it work?

if it failed, tidb cannot collect the timeout for it.

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.

collect duration of failed stats cache sync

收集失败的统计信息同步的耗时

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 74.4082%. Comparing base (d1ed962) to head (a485971).
Report is 34 commits behind head on master.

Additional details and impacted files

@@               Coverage Diff                @@
##             master     #58795        +/-   ##
================================================
+ Coverage   73.0889%   74.4082%   +1.3193%     
================================================
  Files          1676       1708        +32     
  Lines        463746     477639     +13893     
================================================
+ Hits         338947     355403     +16456     
+ Misses       103954     100863      -3091     
- Partials      20845      21373       +528     

Flag	Coverage Δ
integration	46.5864% <100.0000%> (?)
unit	73.0040% <100.0000%> (+0.7144%)	⬆️

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

Components	Coverage Δ
dumpling	52.6910% <ø> (ø)
parser	∅ <ø> (∅)
br	45.7689% <ø> (+0.0628%)	⬆️

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

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

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• pkg/statistics/OWNERS [AilinKid,qw4990]

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-01-13 07:22:30.697987168 +0000 UTC m=+770293.986818873: ☑️ agreed by AilinKid.
• 2025-01-13 07:26:03.558553271 +0000 UTC m=+770506.847384977: ☑️ agreed by qw4990.