Here is my ICS integration -
Simple stuff, just a REST interface to creating an organization in Service Cloud.
Here is the endpoint -
Before I can publish this API to APIP CS, I need to configure ICS for the target APIP CS platform.
As you can see, I have deleted some of the URL, but you get the idea.
Now, I go to activate the integration -
Let's see what other operations are available -
I'll go with Create New API.
I fill in the details as follows -
Note: the checkboxes for deploy and publish.
I check them -
Then I click Create.