First attempt.

docker-compose.yml

+---
+version: '3.7'
+services:
+  registry:
+    environment: {}
+    healthcheck:
+      test:
+        - CMD-SHELL
+        - >-
+          wget
+          --spider
+          http://127.0.0.1:5000/v2/_catalog
+          || exit 1
+    image: registry.hub.docker.com/library/registry:2.7.1
+    restart: always
+    volumes:
+      - "registry:/var/lib/registry"
+  reg:
+    command:
+      - "server"
+      - "--registry"
+      - "registry.shore.co.il"
+      - "--interval"
+      - "5m"
+    healthcheck:
+      test:
+        - CMD-SHELL
+        - >-
+          wget
+          --spider
+          http://127.0.0.1:8080/
+          || exit 1
+    image: r.j3ss.co/reg:v0.16.1
+    restart: always
+
+volumes:
+  registry:
+
+networks:
+  default:
+    name: shore