I can not access the UI when I change the /path from the ingress

Describe the bug

I can not change the ingress path for weave-gitops.

Environment

Weave-Gitops Version

$ gitops version
Current Version: 0.38.0
GitCommit: 693dafd494f1027c4bc740be9ffef98e21cdcfb6
BuildTime: 2023-12-06T15:43:30Z
Branch: releases/v0.38.0

Flux Version

$ flux version
flux: v2.2.2
distribution: flux-v2.2.2
helm-controller: v0.37.2
kustomize-controller: v1.2.1
notification-controller: v1.2.3
source-controller: v1.2.3

Kubernetes version

$ kubectl version
WARNING: This version information is deprecated and will be replaced with the output from kubectl version --short.  Use --output=yaml|json to get the full version.
Client Version: version.Info{Major:"1", Minor:"27", GitVersion:"v1.27.3", GitCommit:"25b4e43193bcda6c7328a6d147b1fb73a33f1598", GitTreeState:"clean", BuildDate:"2023-06-14T09:53:42Z", GoVersion:"go1.20.5", Compiler:"gc", Platform:"darwin/amd64"}
Kustomize Version: v5.0.1
Server Version: version.Info{Major:"1", Minor:"27", GitVersion:"v1.27.3", GitCommit:"25b4e43193bcda6c7328a6d147b1fb73a33f1598", GitTreeState:"clean", BuildDate:"2023-06-15T00:36:28Z", GoVersion:"go1.20.5", Compiler:"gc", Platform:"linux/amd64"}

To Reproduce Steps to reproduce the behavior:

1) I can access the UI ( https://www.private-cloud.com/ ) when I create the following ingress:

apiVersion: networking.k8s.io/v1
kind: Ingress
metadata:
  name: weave-gitops
  namespace: flux-system
  annotations:
    # nginx.ingress.kubernetes.io/rewrite-target: /
spec:
  ingressClassName: nginx
  rules:
  - host: www.private-cloud.com
    http:
      paths:
      - path: /
        pathType: Prefix
        backend:
          service:
            name: ww-gitops-weave-gitops
            port:
              number: 9001

2) when I change the ingress path to /weave, I can not access the UI: https://www.private-cloud.com/weave

apiVersion: networking.k8s.io/v1
kind: Ingress
metadata:
  name: weave-gitops
  namespace: flux-system
  annotations:
    nginx.ingress.kubernetes.io/rewrite-target: /
spec:
  ingressClassName: nginx
  rules:
  - host: www.private-cloud.com
    http:
      paths:
      - path: /weave
        pathType: Prefix
        backend:
          service:
            name: ww-gitops-weave-gitops
            port:
              number: 9001

Expected behavior

I should access the UI by https://www.private-cloud.com/weave

Actual Behavior

Additional Context (screenshots, logs, etc)

weaveworks / weave-gitops

I can not access the UI when I change the /path from the ingress #4188