fix(browser): use worker timers to prevent unexpected client close

[robertsLando]

Fixes #1257

[codecov]

Codecov Report

Attention: 4 lines in your changes are missing coverage. Please review.

Comparison is base (a50e85c) 79.45% compared to head (0c1ed0a) 79.54%.

Files	Patch %	Lines
src/lib/PingTimer.ts	86.66%	0 Missing and 2 partials ⚠️
src/lib/shared.ts	0.00%	1 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1753      +/-   ##
==========================================
+ Coverage   79.45%   79.54%   +0.09%     
==========================================
  Files          23       24       +1     
  Lines        1402     1418      +16     
  Branches      329      332       +3     
==========================================
+ Hits         1114     1128      +14     
  Misses        209      209              
- Partials       79       81       +2     

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