Run PhpStorm with own Docker inside Docker

docker-compose.yml

version: '3.9'
services:
  phpstorm:
    build:
      context: phpstorm
    environment:
      ORG_JETBRAINS_PROJECTOR_SERVER_HANDSHAKE_TOKEN: 'EDIT_PASSWORD'
      ORG_JETBRAINS_PROJECTOR_SERVER_RO_HANDSHAKE_TOKEN: 'GUEST_PASSWORD'
    volumes:
      - ./home:/home/projector-user
    ports:
      - 127.0.0.1:8887:8887
    command: './run.sh'
  docker:
    image: docker:dind
    privileged: true
    volumes:
      - ./home:/home/projector-user
    entrypoint: ['dockerd', '--host=tcp://0.0.0.0:2375', '--host=unix:///var/run/docker.sock', '--tls=false']

Dockerfile

FROM registry.jetbrains.team/p/prj/containers/projector-phpstorm

USER root

ENV DOCKER_HOST=tcp://docker:2375
ENV PS1 '${debian_chroot:+($debian_chroot)}\[\033[01;31m\]\u\[\033[01;33m\]@\[\033[01;36m\]\h \[\033[01;33m\]\w \[\033[01;35m\]\$ \[\033[00m\]'

ENV DOCKERVERSION=20.10.3
RUN apt-get update && \
    apt-get install -y curl git vim && \
    curl -fsSLO https://download.docker.com/linux/static/stable/x86_64/docker-${DOCKERVERSION}.tgz && \
    tar xzvf docker-${DOCKERVERSION}.tgz --strip 1 -C /usr/local/bin docker/docker && \
    rm docker-${DOCKERVERSION}.tgz && \
    curl -L "https://github.com/docker/compose/releases/download/1.28.2/docker-compose-$(uname -s)-$(uname -m)" -o /usr/local/bin/docker-compose && \
    chmod +x /usr/local/bin/docker-compose

USER projector-user