Reverse Proxy to the container and to an external service

Hello.
I'm trying to configure Traefik for reverse proxying some requests to a container and to an external service, depending by the path prefix I use.

I'm using Docker Swarm.

On a service of mine, I have the following annotations:

- "traefik.enable=true"
- "traefik.http.routers.portal.rule=Host(`myhost-dev.domain.it`) && PathPrefix(`/TestPath/`)"
- "traefik.http.services.service-name.loadbalancer.server.port=80"

Everything works fine, if I access the endpoint http://myhost-dev.domain.it/TestPath/ the request is correctly forwarded to the container named "service-name" specified in my docker-compose.

Now I want to configure a new path, but this path shoud forward the request to an external service.
So I added the following annotations (in addition to the previous ones):

- "traefik.http.routers.external-service.rule=Host(`myhost-dev.domain.it`) && PathPrefix(`/TestPath2/`)"
- "traefik.http.routers.external-service.service=external-service"
- "traefik.http.services.external-service.loadbalancer.servers.url=http://10.64.9.106"

Everything stopped working. It's like the second set of rules override the first set, in the dashboard I see the first Router disappears and the second one is not there.

If I configure Traefik with an additional configuration file, it works instead:

http:
  routers:
    external-service:
      entryPoints:
      - web
      - web-secure
      service: external-service
      rule: Host(`myhost-dev.domain.it`) && Path(`/TestPath2/`)

  services:
    external-service:
      loadBalancer:
        servers:
        - url: http://10.64.9.106

What I'm doing wrong?

What does the Traefik debug log tell you?