[AUTO-BACKPORT 10182] docs: docs changes for searcher context removal

[github-actions]

Backport f02872a from #10182.

[codecov]

Codecov Report

Attention: Patch coverage is 41.66667% with 7 lines in your changes missing coverage. Please review.

Project coverage is 54.32%. Comparing base (508d400) to head (32f402c).
Report is 2 commits behind head on release-0.38.0.

Files with missing lines	Patch %	Lines
...determined/pytorch/deepspeed/_deepspeed_context.py	55.55%	4 Missing ⚠️
master/pkg/searcher/searcher.go	0.00%	3 Missing ⚠️

Additional details and impacted files

@@                Coverage Diff                 @@
##           release-0.38.0   #10194      +/-   ##
==================================================
- Coverage           54.32%   54.32%   -0.01%     
==================================================
  Files                1259     1259              
  Lines              157301   157310       +9     
  Branches             3644     3643       -1     
==================================================
+ Hits                85459    85461       +2     
- Misses              71709    71716       +7     
  Partials              133      133              

Flag	Coverage Δ
backend	46.09% <0.00%> (-0.01%)	⬇️
harness	71.12% <55.55%> (-0.01%)	⬇️
web	54.30% <ø> (ø)

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

Files with missing lines	Coverage Δ
harness/determined/pytorch/_trainer_utils.py	57.50% <ø> (ø)
harness/determined/pytorch/deepspeed/_trainer.py	49.54% <ø> (ø)
master/pkg/searcher/searcher.go	46.72% <0.00%> (ø)
...determined/pytorch/deepspeed/_deepspeed_context.py	62.68% <55.55%> (-0.34%)	⬇️

... and 2 files with indirect coverage changes