refactor: port setupGetInstanceId to typescript

[adamalston]

Closes #19102

Ported setupGetInstanceId to TypeScript.

Changelog

Changed

• Ported setupGetInstanceId to TypeScript.

Testing / Reviewing

yarn test packages/react

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 84.98%. Comparing base (ac62dbb) to head (92b4928).
Report is 33 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #19104      +/-   ##
==========================================
- Coverage   84.98%   84.98%   -0.01%     
==========================================
  Files         390      389       -1     
  Lines       14487    14483       -4     
  Branches     4719     4771      +52     
==========================================
- Hits        12312    12308       -4     
  Misses       2027     2027              
  Partials      148      148              

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[2nikhiltom]

LGTM