Browsersync working in docker container.

docker-compose.yaml

version: '2'

services:
  
  wordpress:
    image: wordpress
    expose:
      - 80
    environment:
      WORDPRESS_DB_PASSWORD: example
    volumes:
      - ./theme:/var/www/html/wp-content/themes/theme
  
  mysql:
    image: mariadb
    environment:
      MYSQL_ROOT_PASSWORD: example
  
  node:
    restart: 'no'
    image: node:slim
    depends_on:
      - wordpress
    volumes_from:
      - wordpress
    working_dir: /var/www/html/wp-content/themes/theme
    build:
      context: .
      dockerfile: WordpressBuild
      args:
        - SITE_VERSION=0.0.1
    ports:
      - 3000:3000
      - 3001:3001

@flacoman91 did you find any solution?

No, sorry. It's been ages since I've worked with this and wordpress.