stats: close the priority queue DDL handler when auto-analyze is disabled (#64817)

[ti-chi-bot]

This is an automated cherry-pick of #64817

What problem does this PR solve?

Issue Number: close https://github.com/pingcap/tidb/issues/64038

Problem Summary:

What changed and how does it work?

1. If auto-analyze is disabled, we should close the priority queue and allow it to be re-enabled correctly later and also avoid to return retry later error here.
2. I also ignored errors that occur during handling DDL events to prevent them from blocking the ddl_notifier from being cleaned.

Check List

Tests

• [x] 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.

修复 auto-anlyze 关闭之后 mysql.tidb_ddl_notifier 不能被清理的问题
Fix the issue where mysql.tidb_ddl_notifier cannot be cleaned up after auto-analyze is turned off

[ti-chi-bot]

@0xPoe This PR has conflicts, I have hold it. Please resolve them or ask others to resolve them, then comment /unhold to remove the hold label.

[ti-chi-bot[bot]]

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[0xPoe]

/unhold

[codecov[bot]]

Codecov Report

:x: Patch coverage is 53.57143% with 13 lines in your changes missing coverage. Please review. :warning: Please upload report for BASE (release-8.5@7c29611). Learn more about missing BASE report.

Additional details and impacted files

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Components	Coverage Δ
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[0xPoe]

/retest

[0xPoe]

/retest

[ti-chi-bot[bot]]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: 0xPoe, terry1purcell

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• ~~pkg/statistics/OWNERS~~ [0xPoe,terry1purcell]

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[ti-chi-bot[bot]]

[LGTM Timeline notifier]

Timeline:

• 2025-12-10 20:34:59.607285879 +0000 UTC m=+1073244.421063452: :ballot_box_with_check: agreed by 0xPoe.
• 2025-12-10 22:36:37.386210258 +0000 UTC m=+1080542.199987820: :ballot_box_with_check: agreed by terry1purcell.