Partially revert Update membership check implementation to avoid PAT requirement (#795)

See hazelcast/hazelcast-tpm#72

Author: JackPGreen

.github/workflows/coverage_runner.yml

@@ -27,7 +27,7 @@ jobs:
         uses: hazelcast/hazelcast-tpm/membership@main
         with:
           member-name: ${{ github.actor }}
-          token: ${{ github.token }}
+          token: ${{ secrets.GH_TOKEN }}
 
   python-versions:
     uses: ./.github/workflows/get-python-versions.yml