statistics: stop loading too many stats when to init stats (#53999)

[ti-chi-bot]

This is an automated cherry-pick of #53999

What problem does this PR solve?

Issue Number: close #54000

Problem Summary:

What changed and how does it work?

Check List

Tests

• Unit test
• Integration test
• Manual test (add detailed scripts or steps below)

with 1 millions tables, tidb disable lite-init-stats.

before

after

sync load can find needed-load stats and evict stats when too many stats is in the cache.

• 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

[hawkingrei]

/retest

[hawkingrei]

/retest

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

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

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2024-06-25 07:05:18.448391256 +0000 UTC m=+703244.933880089: ☑️ agreed by hawkingrei.
• 2024-07-05 06:04:00.85124226 +0000 UTC m=+1563567.336731094: ☑️ agreed by AilinKid.

[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/unit-test	94b0e9d	link	true	/test unit-test

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[hawkingrei]

It need infoschema cache v2。

[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.
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