Launch Dialpad App or CTI with specific Contact open

I'm looking to have a button on my website that open a specific contact in the dialpad app. The only information I could find on this is in https://developers.dialpad.com/docs/app-launch-urls, which has limited documentation. What I'm looking to do is have a chat button that opens the dialpad app to a specific contact for sending messages.

Similarly, I would like a button that opens the CTI within my website, with a specific contact chat in the CTI when it gets opened.

How can I achieve this?