I opened a PR on the template repository last week that includes exactly what you are looking for (for UI testing, but can be used for integration the same way).
Since it has not been merged yet, you can apply the changes locally and let me know if they work for you. Your feedback would be greatly appreciated. (Note: I am not from JetBrains, so this is not an official recommendation.)
Thanks for the content. Yes, I did see the task, and I am able to run your driver test.
In my Gradle dependencies I have something every similar to your setup, driver packages download for 251 in my example, not 243, but again, when I got to author any kotlin code, I am met with what look like random misses in the classpath: