[release/v1.62.x] Prepare release 1.62.0

[otelbot]

Prepare release 1.62.0.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 90.84%. Comparing base (3a62b7a) to head (0a978d0).

Additional details and impacted files

@@                  Coverage Diff                  @@
##             release/v1.62.x    #8385      +/-   ##
=====================================================
- Coverage              90.85%   90.84%   -0.01%     
+ Complexity              7984     7983       -1     
=====================================================
  Files                    898      898              
  Lines                  24115    24115              
  Branches                2412     2412              
=====================================================
- Hits                   21909    21907       -2     
- Misses                  1460     1461       +1     
- Partials                 746      747       +1     

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