refactor: DH-14692 Stop exporting client from support logs

[ericlln]

Cherry-pick #2279

• Move exportLogs and logInit to the log package so they could be reused in Enterprise
• Remove @deephaven/redux and @deephaven/jsapi-shim dependencies from LogExport.ts
• Serialize Maps in redux data
• Unit tests for getReduxDataString

[codecov]

Codecov Report

Attention: Patch coverage is 15.38462% with 22 lines in your changes missing coverage. Please review.

Project coverage is 46.70%. Comparing base (8e511a0) to head (4872a77).
Report is 1 commits behind head on release/v0.85.

Files with missing lines	Patch %	Lines
packages/log/src/LogExport.ts	20.00%	16 Missing ⚠️
packages/log/src/LogInit.ts	0.00%	3 Missing ⚠️
packages/code-studio/src/index.tsx	0.00%	2 Missing ⚠️
packages/code-studio/src/settings/SettingsMenu.tsx	0.00%	1 Missing ⚠️

Additional details and impacted files

@@                Coverage Diff                @@
##           release/v0.85    #2368      +/-   ##
=================================================
- Coverage          46.71%   46.70%   -0.01%     
=================================================
  Files                689      695       +6     
  Lines              38623    38814     +191     
  Branches            9624     9665      +41     
=================================================
+ Hits               18043    18130      +87     
- Misses             20570    20674     +104     
  Partials              10       10              

Flag	Coverage Δ
unit	46.70% <15.38%> (-0.01%)	⬇️

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