Add set timezone to StarboardBridge.

[zhongqiliang]

b/301980130

[datadog-cobalt-youtube[bot]]

Datadog Report

Branch report: android_set_timezone Commit report: 536d284

:white_check_mark: cobalt: 0 Failed, 0 New Flaky, 29768 Passed, 1 Skipped, 10m 34.21s Wall Time

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Comparison is base (401d1c7) 58.67% compared to head (536d284) 58.66%. Report is 2 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2052      +/-   ##
==========================================
- Coverage   58.67%   58.66%   -0.01%     
==========================================
  Files        1907     1907              
  Lines       94073    94073              
==========================================
- Hits        55199    55190       -9     
- Misses      38874    38883       +9     

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