Docker compose: Possibility to start the "build" before another service finishes

Docker Desktop
1

Hello,

I am trying to setup a compose with 3 services:
mysql
prisma (which waits for the mysql service to be healthy before applying migration)
my-app: which is a nextjs app.

I set depends_on section in prisma and my-app to wait for one another before starting.

The issue I am facing is that the app service starts to “build” before its dependencies (mysql and prisma) are finished. I think the design is that app will build ahead of time, then once built wait for the dependencies to be ready, then app will run (CMD).
The problem is that my-app beeing a nextjs app, it needs at build time to already have access to the mysql service with the DB already migrated.
In the current version of docker compose I wonder if it is possible to instruct a service to not only wait for the other services to be ready before starting, but also to even wait before building its image?

In the example below, my app starts to build BEFORE mysql and prisma, which is not desirable

Here is what I have:

services:
  mysql:
    container_name: mysql
    image: mysql:5.7
    environment:
      MYSQL_DATABASE: $MYSQLDB_DATABASE
      MYSQL_ROOT_PASSWORD: $MYSQLDB_PASSWORD
      MYSQL_ROOT_HOST: '%'
    healthcheck:
      test:
        [
          "CMD",
          "mysqladmin",
          "ping",
          "-h",
          "127.0.0.1",
          "--silent"
        ]
      interval: 5s
      timeout: 5s
      retries: 20
    ports:
      - $MYSQLDB_LOCAL_PORT:$MYSQLDB_DOCKER_PORT
    expose:
      - $MYSQLDB_DOCKER_PORT
    volumes:
      - db:/var/lib/mysql
    networks:
      - app

  prisma:
    container_name: prisma
    depends_on:
      mysql:
        condition: service_healthy
        restart: true
    build:
      context: .
      dockerfile: prisma.Dockerfile
    networks:
      - app
  
  my-app:
    container_name: my-app
    depends_on:
      mysql:
        condition: service_healthy
        restart: true
      prisma:
        condition: service_completed_successfully
        restart: true
    build:
      context: .
      dockerfile: Dockerfile
    restart: unless-stopped
    ports:
      - $APP_LOCAL_PORT:$APP_DOCKER_PORT
    environment:
      - NEXT_TELEMETRY_DISABLED=$NEXT_TELEMETRY_DISABLED
      - NEXTAUTH_SECRET=$NEXTAUTH_SECRET
      - NEXTAUTH_URL=$NEXTAUTH_URL
    networks:
      - app

volumes:
  db:

networks:
  app: {}

Thank you