Auth towards Function from f.e. Logic App

For a private site I have set up required authentication to a custom role on the whole site via route: *. This leads to the functions under /api/ also being protected by authentication, which is of course a good thing.

However I have a hard time understanding or reproducing in Postman how I can now call the functions under /api/ with for example a StaticWebAppsAuthCookie value. How can I let apps like Logic Apps authenticate with the Functions?