statistics: rightly deal with timout when to send sync load (#57712)

[ti-chi-bot]

This is an automated cherry-pick of #57712

What problem does this PR solve?

Issue Number: close #57710

Problem Summary:

What changed and how does it work?

in the origin code, we can not check the timeout after sending the sync load. so it will block the sending sync load and take too much time.

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.

rightly deal with timout when to send sync load

正确处理发送 sync load 的超时

[ti-chi-bot]

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@ti-chi-bot: The following tests 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/build	821474a	link	true	/test build
idc-jenkins-ci-tidb/check_dev	821474a	link	true	/test check-dev
idc-jenkins-ci-tidb/unit-test	821474a	link	true	/test unit-test

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