statistics: use sampled logger and improve error messages (#63962)

[ti-chi-bot]

This is an automated cherry-pick of #63962

What problem does this PR solve?

Issue Number: close #63880

Problem Summary:

What changed and how does it work?

Use a sampled logger to reduce excessive log noise and improve the clarity of error messages.

Root casue: #63880 (comment)
Fixed by #63626

Check List

Tests

• Unit test
• Integration test
• Manual test
• 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.

减少无效的 sync load 加载失败警告日志
Reduce unnecessary sync load failure warning logs

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is NOT APPROVED

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Details

Needs approval from an approver in each of these files:

• pkg/statistics/OWNERS

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[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 approved by the approvers firstly.
2. AFTER it has been approved by approvers, please wait for the cherry-pick merging approval from triage owners.

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[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/check_dev	4915257	link	true	/test check-dev

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
⚠️ Please upload report for BASE (release-7.5@0820b10). Learn more about missing BASE report.

Additional details and impacted files

@@               Coverage Diff                @@
##             release-7.5     #64085   +/-   ##
================================================
  Coverage               ?   72.2134%           
================================================
  Files                  ?       1422           
  Lines                  ?     415266           
  Branches               ?          0           
================================================
  Hits                   ?     299878           
  Misses                 ?      95343           
  Partials               ?      20045           

Flag	Coverage Δ
unit	72.2134% <ø> (?)

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

Components	Coverage Δ
dumpling	52.9400% <0.0000%> (?)
parser	∅ <0.0000%> (?)
br	53.6427% <0.0000%> (?)

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