version: '3.8'
services:
  my-service:
    image: alpine
    command: tail -f /dev/null
    depends_on:
      nginx: {condition: service_healthy}

  nginx:
    image: nginx:alpine
    healthcheck:
      test:     "echo | nc -w 5 localhost:80"
      interval: 30s
      timeout:  5s
      retries:  5

 ⠿ Container dcompose-repro-my-service-1  Recreated                                                                                                                            10.6s
no such service: nginx

$ docker compose ps
NAME                          COMMAND                  SERVICE             STATUS              PORTS
dcompose-repro-my-service-1   "tail -f /dev/null"      my-service          created             
dcompose-repro-nginx-1        "/docker-entrypoint.…"   nginx               running (healthy)   80/tcp

Docker Compose version v2.6.1

Client:
 Context:    default
 Debug Mode: false
 Plugins:
  buildx: Docker Buildx (Docker Inc., v0.8.2-docker)
  compose: Docker Compose (Docker Inc., v2.6.1)

Server:
 Containers: 256
  Running: 50
  Paused: 0
  Stopped: 206
 Images: 170
 Server Version: 20.10.16
 Storage Driver: overlay2
  Backing Filesystem: extfs
  Supports d_type: true
  Native Overlay Diff: false
  userxattr: false
 Logging Driver: json-file
 Cgroup Driver: systemd
 Cgroup Version: 2
 Plugins:
  Volume: local
  Network: bridge host ipvlan macvlan null overlay
  Log: awslogs fluentd gcplogs gelf journald json-file local logentries splunk syslog
 Swarm: inactive
 Runtimes: io.containerd.runc.v2 io.containerd.runtime.v1.linux runc
 Default Runtime: runc
 Init Binary: docker-init
 containerd version: 96df0994faabc1944fc614e52b0b3c6feb609a57.m
 runc version: 
 init version: de40ad0
 Security Options:
  seccomp
   Profile: default
  cgroupns
 Kernel Version: 5.18.1-arch1-1
 Operating System: Antergos Linux
 OSType: linux
 Architecture: x86_64
 CPUs: 4
 Total Memory: 15.49GiB
 Name: xxx
 ID: xxx
 Docker Root Dir: /var/lib/docker
 Debug Mode: false
 Username: nocive
 Registry: https://index.docker.io/v1/
 Labels:
 Experimental: true
 Insecure Registries:
  127.0.0.0/8
 Live Restore Enabled: false