Inline browser_parser into Api

[raphinesse]

Motivation and Context

Reduce (unused) code.

Description

• Remove unused stuff from browser_parser
• Inline remaining two methods from browser_parser into Api

This removes the property parser from Api instances. AFAIK this prop is not documented, so I'd consider it private. But if we would consider it public, this PR would be a major change.

Testing

I ran npm t

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 93.75%. Comparing base (8938584) to head (a46969f).

Additional details and impacted files

@@           Coverage Diff           @@
##           master      #98   +/-   ##
=======================================
  Coverage   93.75%   93.75%           
=======================================
  Files           2        2           
  Lines          32       32           
=======================================
  Hits           30       30           
  Misses          2        2           

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[erisu]

I rebased the PR with current main branch.

[erisu]

LGTM