planner: fix uninit timeout for loading bindings (#61891)

[ti-chi-bot]

This is an automated cherry-pick of #61891

What problem does this PR solve?

Issue Number: close #61889

Problem Summary:

What changed and how does it work?

as the code show, the old code cannot init the right value for tidb_load_binding_timeout

Currently,this switch is actually ineffective on the master branch.However,to comply with the process standards,it will still be merged into master first.But please refer to this PR for the tests.

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.

planner: fix uninit timeout for loading bindings

修复加载bindings 超时配置不正确的问题

[ti-chi-bot]

@hawkingrei 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.

[fixdb]

Can you fix the conflict?

[ti-chi-bot]

@hawkingrei: You cannot manually add or delete the reviewing state labels, only I and the tursted members have permission to do so.

In response to removing label named needs-1-more-lgtm.

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Please upload report for BASE (release-8.5@48a94ab). Learn more about missing BASE report.

Additional details and impacted files

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Components	Coverage Δ
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parser	∅ <0.0000%> (?)
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[hawkingrei]

/retest

[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-07-02 15:01:55.832529532 +0000 UTC m=+1493568.555708514: ☑️ agreed by hawkingrei.
• 2025-07-04 06:59:47.512420849 +0000 UTC m=+1637440.235599831: ☑️ agreed by AilinKid.

[hawkingrei]

/retest

[hawkingrei]

/retest

[AilinKid]

/test unit-test

[tiprow]

@AilinKid: No presubmit jobs available for pingcap/[email protected]

In response to this:

/test unit-test

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[hawkingrei]

/retest

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

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

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Needs approval from an approver in each of these files:

• pkg/bindinfo/OWNERS [AilinKid,hawkingrei]
• pkg/sessionctx/variable/OWNERS [yudongusa]

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