You can use a third-party service like DeployHQ to integrate your repository (Git, SCM, etc) and deploy to your Pressidium WordPress site. 

Take a look at DeployHQ's support documentation. You will need to supply the following Pressidium-related information:

Protocol: SSH/SFTP
Hostname: your WordPress site's SFTP address.
Port: your WordPress site's SFTP port number.
Username: your SFTP username
Password: your SFTP password

Deployment path:
/acme_shop_2-dev/acme_shop_2-dev-www for staging
/acme_shop_2/acme_shop_2-www for production

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