Fix logging of deeply nested documents

[AlekSi]

Description

Closes #3759.

Readiness checklist

• I added/updated unit tests (and they pass).
• I added/updated integration/compatibility tests (and they pass).
• 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), Milestone (Next), Labels, Project and project's Sprint fields.
• I marked all done items in this checklist.

[codecov]

Codecov Report

Attention: Patch coverage is 78.84615% with 11 lines in your changes are missing coverage. Please review.

Project coverage is 73.82%. Comparing base (4281187) to head (3871210).

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #4167      +/-   ##
==========================================
- Coverage   74.30%   73.82%   -0.49%     
==========================================
  Files         354      354              
  Lines       23012    23013       +1     
==========================================
- Hits        17100    16989     -111     
- Misses       4600     4727     +127     
+ Partials     1312     1297      -15     

Files	Coverage Δ
integration/integration.go	84.44% <ø> (-0.60%)	⬇️
internal/bson2/document.go	62.85% <100.00%> (ø)
internal/bson2/raw_document.go	84.00% <100.00%> (ø)
internal/bson2/array.go	63.15% <0.00%> (ø)
internal/bson2/raw_array.go	30.30% <0.00%> (ø)
internal/bson2/logging.go	90.27% <80.95%> (-2.37%)	⬇️
internal/wire/op_msg.go	69.29% <81.48%> (+6.02%)	⬆️

... and 13 files with indirect coverage changes

Flag	Coverage Δ
filter-true	66.74% <50.00%> (-0.66%)	⬇️
hana-1	?
integration	66.74% <50.00%> (-0.66%)	⬇️
mongodb-1	4.80% <0.00%> (-0.06%)	⬇️
postgresql-1	48.80% <50.00%> (+0.65%)	⬆️
postgresql-2	49.17% <46.15%> (+2.23%)	⬆️
postgresql-3	46.28% <46.15%> (-2.96%)	⬇️
sqlite-1	47.89% <50.00%> (+0.69%)	⬆️
sqlite-2	48.38% <46.15%> (+2.29%)	⬆️
sqlite-3	45.36% <46.15%> (-3.01%)	⬇️
unit	32.92% <75.00%> (+0.07%)	⬆️

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