Update membership check implementation to avoid PAT requirement (#791)

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

Author: JackPGreen

.github/workflows/coverage_runner.yml

@@ -26,9 +26,8 @@ jobs:
         id: composite
         uses: hazelcast/hazelcast-tpm/membership@main
         with:
-          organization-name: 'hazelcast'
           member-name: ${{ github.actor }}
-          token: ${{ secrets.PAT }}
+          token: ${{ github.token }}
 
   python-versions:
     uses: ./.github/workflows/get-python-versions.yml