fix(client): export APIResult when using serviceResponse as 'response'

[jordanshatford]

closes: #282

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Name	Status	Preview	Comments	Updated (UTC)
hey-api-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Apr 7, 2024 10:09pm

[codecov]

Codecov Report

Attention: Patch coverage is 33.33333% with 2 lines in your changes are missing coverage. Please review.

Project coverage is 83.44%. Comparing base (801fb25) to head (515aaed).

Files	Patch %	Lines
packages/openapi-ts/src/utils/write/index.ts	33.33%	2 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #283      +/-   ##
==========================================
- Coverage   83.47%   83.44%   -0.04%     
==========================================
  Files          71       71              
  Lines        4647     4650       +3     
  Branches      513      514       +1     
==========================================
+ Hits         3879     3880       +1     
- Misses        767      769       +2     
  Partials        1        1              

Flag	Coverage Δ
unittests	83.44% <33.33%> (-0.04%)	⬇️

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