Update membership check implementation to avoid PAT requirement

[JackPGreen]

See (and is blocked by) hazelcast/hazelcast-tpm#71

Post-merge actions:

• remove repo-scoped secret PAT

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 93.45%. Comparing base (44a05a5) to head (c758854).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1585      +/-   ##
==========================================
+ Coverage   93.43%   93.45%   +0.01%     
==========================================
  Files         466      466              
  Lines       16645    16645              
  Branches     1353     1353              
==========================================
+ Hits        15552    15555       +3     
+ Misses        798      797       -1     
+ Partials      295      293       -2     

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