Using dynamic island and picture in picture together

We are implementing new Live Activities in our app (we are a live shopping app). We also have PIP however i've noticed that when I start a live activity, then go into picture in picture, the dynamic island does not show the activity we've created for it. I can only see the activity on the lock screen widget while the audio for the videos plays. Is there any way to get the dynamic island to work with an app that is also in picture in picture? If there is and I'm doing something wrong, I can post some code. But from what I see, these don't seem to be compatible unfortunately :(