I don’t believe it’s supported by the tools you’re using; for database connections you can use that tool to deploy the custom scripts, but I could not find any mention of support for general configuration.
However, the configuration of those keys can be done through Management API (connection related endpoints) which could be leveraged to automate this deploy.
In relation to the export of those key values, since the values are stored encrypted and only accessible in plain text to the custom database itself I don’t believe there’s a way to dump those values.