If I understand your use case correctly, you want to publish a bundle from your Design node to the local Project Deployer of your automation node.
In this case, you (if you have the admin rights on the Design instance, otherwise one of its admins) can set up the Design node to use a Remote Deployer. You'd need to go in Administration > Settings > Deployer, use the Remote mode, and enter your Automation node URL and an API key.
Once you have configured this, publishing bundles from your Design node will use the Deployer on your Automation node, instead of its Local Deployer. See more in the documentation: https://doc.dataiku.com/dss/latest/deployment/setup.html#using-a-standalone-deployer
Hope this helps!