chore(bench): Setup benchmark script for testing browser open timing

[aklinker1]

Wanted to commit this work so it can be referenced for future benchmarks or if there are more issues with browser startup.

See #866 (reply in thread)

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 82.47%. Comparing base (46a324a) to head (31ab521).
Report is 2 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #917      +/-   ##
==========================================
- Coverage   82.51%   82.47%   -0.05%     
==========================================
  Files         125      125              
  Lines        6567     6567              
  Branches     1105     1104       -1     
==========================================
- Hits         5419     5416       -3     
- Misses       1134     1137       +3     
  Partials       14       14              

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