Add those lines to your hosts file:
127.0.0.1 local.api.mydomain.net
127.0.0.1 local.app.mydomain.net
Run from the project directory:
docker-compose build
Copy the .env file, and edit it if needed:
cp .env.skeleton .env
Edit the following files to update the directives with you domain name
Run from the project directory:
docker-compose up
Start the nuxt server:
docker exec -it app bash
yarn dev