Partially revert Update membership check implementation to avoid PAT requirement (#777)

See hazelcast/hazelcast-tpm#72

Author: JackPGreen

.github/workflows/builder.yaml

@@ -15,7 +15,7 @@ jobs:
         uses: hazelcast/hazelcast-tpm/membership@main
         with:
           member-name: ${{ github.actor }}
-          token: ${{ github.token }}
+          token: ${{ secrets.GH_TOKEN }}
   pr-builder:
     runs-on: ubuntu-latest
     permissions: