chore(deps): upgrade react-native-reanimated to ^3.16.2

[MuckT]

Description

Upgrades react-native-reanimated to 3.16.2.

Test plan

Tested in CI.

Related issues

N/A

Backwards compatibility

Yes

Network scalability

N/A

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 88.94%. Comparing base (538a3d9) to head (c2edf2a).

Additional details and impacted files

@@           Coverage Diff            @@
##             main    #6260    +/-   ##
========================================
  Coverage   88.94%   88.94%            
========================================
  Files         739      739            
  Lines       31613    31613            
  Branches     5574     5883   +309     
========================================
  Hits        28118    28118            
  Misses       3450     3450            
  Partials       45       45            

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[bakoushin]

Note the version 3.16 is requiring RN 73
Compatibility table