I use nginx-ingress-controller:0.24.1 (Inspired by)

I would like to set a DNS A record to LB IP address, so it would connect it to the Google cloud public bucket (my-back-end-bucket) that has public index.html in the root AND to the back-end by another url rule.

kind: Service
apiVersion: v1
metadata:
  name: ingress-nginx
  namespace: ingress-nginx
  labels:
    app.kubernetes.io/name: ingress-nginx
    app.kubernetes.io/part-of: ingress-nginx
spec:
  externalTrafficPolicy: Local
  type: LoadBalancer
  selector:
    app.kubernetes.io/name: ingress-nginx
    app.kubernetes.io/part-of: ingress-nginx
  ports:
    - name: http
      port: 80
      targetPort: http
    - name: https
      port: 443
      targetPort: https

---

kind: Service
apiVersion: v1
metadata:
  name: google-storage-buckets-service
  namespace: ingress-nginx
spec:
  type: ExternalName
  externalName: storage.googleapis.com

---
apiVersion: extensions/v1beta1
kind: Ingress
metadata:
  name: proxy-assets-ingress
  namespace: ingress-nginx
  annotations:
    nginx.ingress.kubernetes.io/rewrite-target: /my.bucket.com
    nginx.ingress.kubernetes.io/secure-backends: "true"
    nginx.ingress.kubernetes.io/upstream-vhost: "storage.googleapis.com"
spec:
  rules:
    - http:
        paths:
          - path: /*
            backend:
              serviceName: google-storage-buckets-service
              servicePort: 443
          - path: /c/
            backend:
              serviceName: hello-world-service
              servicePort: 8080

By reaching https://my.ip.add.ress/c - got both outputs: Hello, world! bucket content.

"Hello, world!" form the hello-world-service

"bucket content" from the bucket' index.html file

Question: how to make it work so, that by ip/ - I got a bucket content and by ip/c - back-end response content ?