[release-20.0] fix flaky test TestQueryTimeoutWithShardTargeting (#16150)

[vitess-bot]

Description

This is a backport of #16150

[vitess-bot]

Review Checklist

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 68.55%. Comparing base (ba19342) to head (5dce9d4).

Additional details and impacted files

@@               Coverage Diff                @@
##           release-20.0   #16179      +/-   ##
================================================
+ Coverage         68.53%   68.55%   +0.01%     
================================================
  Files              1541     1541              
  Lines            197628   197628              
================================================
+ Hits             135454   135487      +33     
+ Misses            62174    62141      -33     

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