Handle envtool panic on timeout

[syasyayas]

Description

Closes #2486.

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.

[CLAassistant]

All committers have signed the CLA.

[codecov]

Codecov Report

Merging #2499 (c200545) into main (1479b0c) will decrease coverage by 0.08%.
The diff coverage is n/a.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2499      +/-   ##
==========================================
- Coverage   64.68%   64.61%   -0.08%     
==========================================
  Files         397      397              
  Lines       19643    19643              
==========================================
- Hits        12707    12692      -15     
- Misses       6025     6039      +14     
- Partials      911      912       +1     

see 3 files with indirect coverage changes

Flag	Coverage Δ
integration	57.82% <ø> (-0.04%)	⬇️
mongodb	5.05% <ø> (ø)
pg	57.75% <ø> (-0.04%)	⬇️
unit	25.27% <ø> (-0.05%)	⬇️

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[AlekSi]

@w84thesun PTAL