chore(docs): make docs locally searchable

[jordanshatford]

closes: #253

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Name	Status	Preview	Updated (UTC)
hey-api-docs	✅ Ready (Inspect)	Visit Preview	Apr 4, 2024 4:29am

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 90.08%. Comparing base (11979c8) to head (589d125).

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #256   +/-   ##
=======================================
  Coverage   90.08%   90.08%           
=======================================
  Files          65       65           
  Lines        4043     4043           
  Branches      464      464           
=======================================
  Hits         3642     3642           
  Misses        400      400           
  Partials        1        1           

Flag	Coverage Δ
unittests	90.08% <ø> (ø)

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