*: fix issue of doesn't fast fail request when no available connections (#53247)

[ti-chi-bot]

This is an automated cherry-pick of #53247

What problem does this PR solve?

Issue Number: close #53222
Related PR: tikv/client-go#1339

Problem Summary: fix issue of doesn't fast fail request when no available connections

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.

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

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

❗ No coverage uploaded for pull request base (release-8.1@41b7a58). Click here to learn what that means.

Additional details and impacted files

@@               Coverage Diff                @@
##             release-8.1     #53249   +/-   ##
================================================
  Coverage               ?   71.3141%           
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  Files                  ?       1465           
  Lines                  ?     422159           
  Branches               ?          0           
================================================
  Hits                   ?     301059           
  Misses                 ?     100664           
  Partials               ?      20436           

Flag	Coverage Δ
unit	71.3141% <ø> (?)

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

Components	Coverage Δ
dumpling	53.9957% <0.0000%> (?)
parser	∅ <0.0000%> (?)
br	40.9907% <0.0000%> (?)

[crazycs520]

/retest-required

[crazycs520]

@MyonKeminta PTAL

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: cfzjywxk, MyonKeminta

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2024-05-15 04:02:30.075800573 +0000 UTC m=+1625903.832936146: ☑️ agreed by cfzjywxk.
• 2024-05-15 06:49:22.505054296 +0000 UTC m=+1635916.262189863: ☑️ agreed by MyonKeminta.

[cfzjywxk]

/merge

[ti-chi-bot]

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