Images: Rework. (1/3) (#13014)

Co-authored-by: Marco Ebert <marco_ebert@icloud.com>

cloudbuild.yaml

@@ -2,13 +2,11 @@ options:
   # Ignore Prow provided substitutions.
   substitution_option: ALLOW_LOOSE
 steps:
-  - name: gcr.io/k8s-staging-test-infra/gcb-docker-gcloud:v20250116-2a05ea7e3d
-    env:
-      - REGISTRY=us-central1-docker.pkg.dev/k8s-staging-images/ingress-nginx
-      - REPO_INFO=https://github.com/kubernetes/ingress-nginx
-      - COMMIT_SHA=${_PULL_BASE_SHA}
-      - BUILD_ID=${BUILD_ID}
-    entrypoint: bash
-    args:
-      - -c
-      - gcloud auth configure-docker && make release
+- name: gcr.io/k8s-staging-test-infra/gcb-docker-gcloud:v20250116-2a05ea7e3d
+  env:
+  - REPO_INFO=https://github.com/kubernetes/ingress-nginx
+  - COMMIT_SHA=${_PULL_BASE_SHA}
+  - BUILD_ID=${BUILD_ID}
+  entrypoint: make
+  args:
+  - release