rewrite URI with ingress for different k8s services

Basically I need to achieve the workflow as below. I've already deployed the official nginx helm-chart without any custom-values.
The flow I'm trying to achieve:
• https://test-api.foo.com/ >>> http://k8s-service-A/
• https://test-api.foo.com/bar >>> http://k8s-service-B/bar
• https://test-api.foo.com/sos >>> http://k8s-service-C/sos

Here is my service-A-ingress.yaml configuration:

apiVersion: networking.k8s.io/v1
kind: Ingress
metadata:
  annotations:
    nginx.ingress.kubernetes.io/proxy-ssl-verify: "false"
    nginx.ingress.kubernetes.io/rewrite-target: /$1
    nginx.org/client-max-body-size: 1024m
    nginx.org/proxy-connect-timeout: 350s
    nginx.org/proxy-read-timeout: 4260s
  name: service-A-ingress
spec:
  ingressClassName: nginx
  rules:
  - host: test-api.foo.com
    http:
      paths:
      - backend:
          service:
            name: service-A
            port:
              number: 3001
        path: /
        pathType: ImplementationSpecific
      - backend:
          service:
            name: Service-B
            port:
              number: 3002
        path: /bar
        pathType: ImplementationSpecific
      - backend:
          service:
            name: Service-C
            port:
              number: 3003
        path: /sos
        pathType: ImplementationSpecific

Assume that all 3 services and their respective deployments are already there working fine. For all 3 services I'm getting response as below:

• https://test-api.foo.com/ >>> http://k8s-service-A/ (working fine)
• https://test-api.foo.com/bar >>> http://k8s-service-B/bar (Got 404)
• https://test-api.foo.com/sos >>> http://k8s-service-C/sos (Got 404)

I'm not an nginx expert but what it looks like is, `rewrite-target' annotation in the ingress doesn't work.

Also let me know if I'm doing something wrong or understanding it differently. Any help would be appreciated.

Solution

Let me clarify and here are the details to help those who are using the official Nginx Ingress Controller. And how I overcame this challenge:

First, the ingress controller that I'm using is completely different then the one supported by the Kubernetes. So ingress annotation starting with nginx.ingress.kubernetes.io/... won't work in this case.

After adding this annotation to Ingress, it starts working as described above.

  annotations:
    nginx.org/rewrites: "serviceName=service-A rewrite=/;serviceName=Service-B rewrite=/bar/;serviceName=Service-C rewrite=/sos/"

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