Apply the monkey-patch with backport of newer changes to dill pickler also in Python 3.10.

[tvalentyn]

This should help with the segfault portion of #27330.

[codecov]

Codecov Report

Merging #28355 (480de57) into master (5cc8709) will decrease coverage by 0.01%.
Report is 4 commits behind head on master.
The diff coverage is 66.66%.

@@            Coverage Diff             @@
##           master   #28355      +/-   ##
==========================================
- Coverage   72.33%   72.33%   -0.01%     
==========================================
  Files         681      681              
  Lines      100355   100357       +2     
==========================================
+ Hits        72593    72594       +1     
- Misses      26185    26186       +1     
  Partials     1577     1577              

Flag	Coverage Δ
python	82.90% <66.66%> (-0.01%)	⬇️

Flags with carried forward coverage won't be shown. Click here to find out more.

Files Changed	Coverage Δ
...on/apache_beam/ml/inference/vertex_ai_inference.py	44.92% <50.00%> (+0.15%)	⬆️
sdks/python/apache_beam/internal/dill_pickler.py	77.91% <100.00%> (ø)

... and 3 files with indirect coverage changes

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[tvalentyn]

cc: @iindyk

[github-actions]

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[jrmccluskey]

LGTM