Do not break fuzzing initialization

[AlekSi]

Description

Closes #2940.
Refs #1636.

Please do not recommend rm -fr tmp as a workaround after that.

Readiness checklist

• I added/updated unit tests.
• I added/updated integration/compatibility tests.
• I added/updated comments and checked rendering.
• I made spot refactorings.
• I updated user documentation.
• I ran task all, and it passed.
• I ensured that PR title is good enough for the changelog.
• (for maintainers only) I set Reviewers (@FerretDB/core), Labels, Project and project's Sprint fields.
• I marked all done items in this checklist.

[codecov]

Codecov Report

Merging #2951 (bf14d6e) into main (206abe8) will increase coverage by 0.00%.
The diff coverage is 0.00%.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #2951   +/-   ##
=======================================
  Coverage   63.99%   64.00%           
=======================================
  Files         451      451           
  Lines       24074    24073    -1     
=======================================
  Hits        15407    15407           
+ Misses       7707     7706    -1     
  Partials      960      960           

Impacted Files	Coverage Δ
internal/wire/record.go	14.51% <0.00%> (+0.23%)	⬆️

Flag	Coverage Δ
integration	57.43% <0.00%> (+<0.01%)	⬆️
mongodb	4.84% <0.00%> (+<0.01%)	⬆️
pg	57.36% <0.00%> (+<0.01%)	⬆️
shard-1	41.77% <0.00%> (+<0.01%)	⬆️
shard-2	42.31% <0.00%> (+<0.01%)	⬆️
shard-3	46.03% <0.00%> (-0.11%)	⬇️
unit	24.11% <0.00%> (-0.03%)	⬇️

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