[Backport 2.x] Mitigation for remote snapshot filecache overflow

[finnegancarroll]

Description

Backport 8f34ce5 from #15077.

Related Issues

Mitigation for #11676

Check List

• Functionality includes testing.
• API changes companion pull request created, if applicable.
• Public documentation issue/PR created, if applicable.

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[github-actions]

❕ Gradle check result for f1acf92: UNSTABLE

Please review all flaky tests that succeeded after retry and create an issue if one does not already exist to track the flaky failure.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 71.69%. Comparing base (20d32cf) to head (f1acf92).
Report is 4 commits behind head on 2.x.

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x   #16143      +/-   ##
============================================
+ Coverage     71.60%   71.69%   +0.08%     
- Complexity    64716    64752      +36     
============================================
  Files          5278     5278              
  Lines        302835   302841       +6     
  Branches      44059    44060       +1     
============================================
+ Hits         216848   217121     +273     
+ Misses        67932    67578     -354     
- Partials      18055    18142      +87     

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