maintainer: honor balance check interval

[wk989898]

What problem does this PR solve?

Issue Number: close #5974

What is changed and how it works?

The maintainer balance schedulers receive the configured check-balance-interval, but discard it and always schedule the next balance check after five seconds.
This affects both the default and redo dispatcher balance schedulers.
Use the configured next check time for every Execute exit path, including drain handling, pending scheduling work, split batching, failpoints, and normal completion.

Check List

Tests

• Unit test
• Integration test

Questions

Will it cause performance regression or break compatibility?

Do you need to update user documentation, design documentation or monitoring documentation?

Release note

Fix the maintainer balance schedulers to honor the configured check-balance-interval.

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📥 Commits

Reviewing files that changed from the base of the PR and between f796ba3 and e0b7258.

📒 Files selected for processing (3)

• coordinator/scheduler/balance.go
• maintainer/scheduler/balance.go
• maintainer/scheduler/balance_test.go

✨ Finishing Touches 💡 1

🛠️ Fix failing CI checks 💡

• Create stacked PR
• Commit on current branch

🧪 Generate unit tests (beta)

• Create PR with unit tests

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[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: hongyunyan, wlwilliamx

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Details

Needs approval from an approver in each of these files:

• OWNERS [hongyunyan,wlwilliamx]

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2026-08-14 09:13:34.505854879 +0000 UTC m=+3383400.541949945: ☑️ agreed by wlwilliamx.
• 2026-08-14 09:26:52.90911729 +0000 UTC m=+3384198.945212346: ☑️ agreed by hongyunyan.

[wk989898]

/retest