Fix race in server LogEntry logger

[6543]

taken from #6391

[codecov]

Codecov Report

❌ Patch coverage is 62.50000% with 3 lines in your changes missing coverage. Please review.
✅ Project coverage is 35.31%. Comparing base (e173bed) to head (a6c588f).
⚠️ Report is 3 commits behind head on main.

Files with missing lines	Patch %	Lines
server/logging/log.go	62.50%	3 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #6449      +/-   ##
==========================================
+ Coverage   35.27%   35.31%   +0.03%     
==========================================
  Files         431      431              
  Lines       28778    28779       +1     
==========================================
+ Hits        10152    10163      +11     
+ Misses      17694    17685       -9     
+ Partials      932      931       -1     

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