Docker-compose in GCP Cloud build - google-cloud-platform

Question

I'm trying build deploy a app in GCP Cloud run using GCP Cloud Build.
I already build, push and deploy the service using Dockerfile, but i need use the Dockerfile of the project. My dockerfile run in Docker desktop perfectly, but i am not finding documentation for docker-compose using GCP Artifact registry.
My dockerfile:
FROM python:3.10.5-slim-bullseye
#docker build -t cloud_app .
#docker image ls
#docker run -p 81:81 cloud_app
RUN mkdir wd
WORKDIR /wd
RUN apt-get update
RUN apt-get install ffmpeg libsm6 libxext6 -y
COPY requirements.txt .
RUN pip install -r requirements.txt
COPY ./ ./
CMD python3 main.py
My docker-compose:
version: "3.3"
services:
web:
build:
context: ./destripa_frame/
dockerfile: ./Docker_files/Dockerfile
image: bank_anon_web_dev_build
restart: always
expose:
- 8881
- 80
- 2222
- 22
ports:
- "2222:2222"
- "80:80"
environment:
- TZ=America/Chicago
My cloud-build configuration:
steps:
- name: 'docker/compose:1.28.2'
args: ['up', '--build', '-f', './cloud_run/docker-compose.devapp.yml', '-d']
- name: 'docker/compose:1.28.2'
args: ['-f', './cloud_run/docker-compose.devapp.yml', 'up', 'docker-build']
images: ['us-central1-docker.pkg.dev/${PROJECT_ID}/app-destripador/job_app:$COMMIT_SHA']
The cloud build commit execution succeed:
Cloud build execution
¿How can modify the cloud build for deploy the Docker-compose in Artifact registry?
EDIT: Find the correct method to push the image in artifact registry using cloudbuild and Docker-compose.
Modify my cloud-build.yml configuration for build the image and then rename the Docker-compose image to the Artifact registry image.
Cloud build automatically push the image in the repository (if the image name it's not a URL then push it in Docker.io).
My new Cloud-build.yml:
steps:
- name: 'docker/compose:1.28.2'
args: [
'-p', 'us-central1-docker.pkg.dev/${PROJECT_ID}/app-destripador',
'-f', './cloud_run/docker-compose.devapp.yml',
'up', '--build', 'web'
]
- name: 'gcr.io/cloud-builders/docker'
args: [
'tag',
'bank_anon_web_dev_build',
'us-central1-docker.pkg.dev/${PROJECT_ID}/app-destripador/bank_anon_web_dev_build'
]
images: ['us-central1-docker.pkg.dev/${PROJECT_ID}/app-destripador/bank_anon_web_dev_build']
Hope anyone need undestand GCP Cloud build using docker-compose can help it, because every guide in the web not explicate this last part.