Docker compose with docker:dind

docker-compose.yml

x-volumes:
  &x-volumes
  volumes:
    - ./docker-repo:/var/lib/docker
    - ./project:/app

services:
  docker:
    # Starts a Docker daemon at the DNS name "docker"
    # Note:
    #  * This must be called "docker" to line up with the default
    #    TLS certificate name
    #  * DOCKER_TLS_CERTDIR defaults to "/certs
    image: docker:dind
    restart: always
    privileged: yes
    <<: *x-volumes
    ports:
      # expose port inside service container: 0.0.0.0:80
      - "${DIND_TEST:-127.0.0.1:5555}:80"
  docker-client:
    # Provides a Docker client container, including the client
    # certs generated by the docker:dind container, above.
    # Notes:
    #  * The name of this container doesn't matter
    #  * The DOCKER_CERT_PATH defaults to /certs/client, the
    #    same path where the docker:dind image generates the
    #    client certificate (and that we've mounted inside this
    #    container).
    # You can execute a shell inside this container by running:
    #   docker-compose exec docker-client sh
    image: docker
    restart: always
    stdin_open: true
    tty: true
    logging:
      driver: none
    environment:
      DOCKER_HOST: tcp://docker:2376
      DOCKER_TLS_VERIFY: '1'
      DOCKER_CERT_PATH: '/certs/client'
    <<: *x-volumes
volumes:
  certs:

Link: https://www.caktusgroup.com/blog/2020/02/25/docker-image/

Tested Docker version 20.10.11, build dea9396
And docker-compose version 1.29.2, build 5becea4c