Can keycloak service work with ingress rewrite-target rules in k8s? - keycloak

Question

My task is create ingress rules between some services in k8s, one of this - keycloak. I try to write rule for it as:
my-service.my-url.com/keycloak
My ingress.yaml:
kind: Ingress
metadata:
annotations:
nginx.ingress.kubernetes.io/rewrite-target: /$2
name: my-ing
namespace: my-ns
spec:
rules:
- host: my-service.my-url.com
http:
paths:
#to keycloak
- path: /keycloak(/|$)(.*)
pathType: Prefix
backend:
service:
name: keycloak
port:
number: 8090
# all other url
- path: /
pathType: Prefix
backend:
service:
name: my-main-service
port:
number: 8080
But keycloak service rewrite my url with /auth as
my-service.my-url.com/auth
... and after this my ingress rules send url to main service that return error!
If change rules with /auth as...
#to keycloak
- path: /auth(/|$)(.*)
pathType: Prefix
backend:
service:
name: keycloak
port:
number: 8090
# all other url
- path: /
pathType: Prefix
backend:
service:
name: my-main-service
port:
number: 8080
i will take recurse error: ingress remove "/auth", keycloak add it again, ingress remove and etc...
Is the any way to resolve this task?
I check this rule:
rules:
- host: my-service.my-url.com
http:
******
- host: my-keycloak.my-url.com
http:
******
... it's work, but not for my situation.
Also i try to change Front url setup in keycloak realm:
change keycloak setup
but it create other problem:
error responce from keycloak
And now i have no idea for this problem...
Can someone help with this?
Thnx.