So today I found out the difference between the CDS connector and the CDS (current environment) connector. Unfortunately, I have no idea where the flow gets saved to when you initiate it from the "New +" button inside the solution. It doesn't show up under "My Flows" like flows created from the "+ Create" link on the left navigation.
I'm guessing it's saved to the solution instead, but I don't know how to access those.
Additionally, the only way I can see to list those flows is to go to the CDS (current environment) connectors details and then see what flows use the connector. As is my luck, when I click the flow from there, I just get a new page that's stuck loading and never brings up my flow.