Add tests about stale peer check

[CalvinNeo]

What is changed and how it works?

Issue Number: Close #xxx

What's Changed:

Related changes

• PR to update pingcap/docs/pingcap/docs-cn:
• Need to cherry-pick to the release branch

Check List

Tests

• Unit test
• Integration test
• Manual test (add detailed scripts or steps below)
• No code

Side effects

• Performance regression: Consumes more CPU
• Performance regression: Consumes more Memory
• Breaking backward compatibility

Release note

[ti-chi-bot]

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[ti-chi-bot]

@CalvinNeo: 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
pull-unit-test	21ff63a	link	true	/test pull-unit-test

Full PR test history. Your PR dashboard.

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