docker containers stops while creating staging environment

I am deploying, on 3 different environments (test, stage & production) an API.
I am used to deploy with docker-compose so I wrote 2 services (1 for my API and 1 for a database) like following:

# file docker-compose.yml

version: '3.3'

services:
  api:
    build:
      context: ..
      dockerfile: Dockerfile
    image: my_api:${TAG}
    ports:
      - "${API_PORT_FROM_ENV}:8000"
    env_file: .env
    depends_on:
      - db

  db:
    image: whatever:v0.0.0
    ports:
      - "${DB_PORT_FROM_ENV}:5000"
    env_file:
      - .env

In the file above, you can find the parent services.
Thne, I wrote 2 files that explains my strategy to deploy on the same Virtual Machine my containers:

-> staging environment below

# docker-compose.stage.yml
version: "3.3

services: 
  api:
    container_name: api_stage
  environment:
    - environment="staging"

  db:
    container_name: db_stage
  environment:
    - environment="staging"
  volumes:
    - /I/Mount/a/local/volume/stage:/container/volume

-> production environment below

# docker-compose.prod.yml
version: "3.3

services: 
  api:
    container_name: api_prod
  environment:
    - environment="production"

  db:
    container_name: db_prod
  environment:
    - environment="production"
  volumes:
    - /I/Mount/a/local/volume/prod:/container/volume

My problem:

The production is actually running.
I deploy my containers with the following command:

docker-compose -f docker-compose.yml -f docker-compose.prod.yml up --build

I want to deploy a staging environment on the same virtual machine. I want my api_prod + db_prod running in parallel with api_stage + db_stage.

Unfortunatly, when I run the command:

docker-compose -f docker-compose.yml -f docker-compose.stage.yml up --build

My containers called api_prod and db_prod stops. Why?