infoschema: try other PDs if one cannot serve the request

[rleungx]

What problem does this PR solve?

Issue Number: close #52842.

Problem Summary:

What changed and how does it work?

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.

Use tiup to deploy a cluster and execute select * from cluster_info; with 3 PD.

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

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 74.8928%. Comparing base (224ae15) to head (8dfc8f0).
Report is 115 commits behind head on master.

Additional details and impacted files

@@               Coverage Diff                @@
##             master     #52843        +/-   ##
================================================
+ Coverage   74.3558%   74.8928%   +0.5369%     
================================================
  Files          1470       1506        +36     
  Lines        354521     458988    +104467     
================================================
+ Hits         263607     343749     +80142     
- Misses        71638      94662     +23024     
- Partials      19276      20577      +1301     

Flag	Coverage Δ
integration	49.4248% <100.0000%> (?)
unit	71.3013% <100.0000%> (-1.8260%)	⬇️

Flags with carried forward coverage won't be shown. Click here to find out more.

Components	Coverage Δ
dumpling	53.9957% <ø> (-2.3014%)	⬇️
parser	∅ <ø> (∅)
br	46.8236% <ø> (+4.1837%)	⬆️

[rleungx]

/test unit-test

[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2024-05-06 05:45:51.967194744 +0000 UTC m=+854505.724330315: ☑️ agreed by JmPotato.
• 2024-05-06 06:52:04.325300882 +0000 UTC m=+858478.082436455: ☑️ agreed by xhebox.

[rleungx]

/merge

[ti-chi-bot]

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[xhebox]

/approve

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: JmPotato, xhebox, zimulala

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• pkg/infoschema/OWNERS [zimulala]

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[ti-chi-bot]

In response to a cherrypick label: new pull request created to branch release-8.1: #53030.