Modificado el Docker-compose

docker-compose.yaml

@@ -1,17 +1,44 @@
+version: "3.9"
+
 services:
   backend:
     build: 
       context: ./backend
+    container_name: backend
     ports:
       - "8000:8000"
     volumes:
       - ./backend:/app
+    depends_on:
+      - db
+    environment:
+      DB_HOST: db
+      DB_PORT: 3306
+      DB_USER: root
+      DB_PASSWORD: root
+      DB_NAME: deckofcards
 
   frontend:
     build:
       context: ./frontend
+    container_name: frontend
     ports:
       - "5173:5173"
     volumes:
       - ./frontend:/app
       - /app/node_modules
+
+  db:
+    image: mysql:8.0
+    container_name: mysql_db
+    restart: always
+    environment:
+      MYSQL_ROOT_PASSWORD: root
+      MYSQL_DATABASE: deckofcards
+    ports:
+      - "3306:3306"
+    volumes:
+      - mysql_data:/var/lib/mysql
+
+volumes:
+  mysql_data: