REST-API: retrieving an activity tree: result is incomplete

I have a process which is a combination of 4 sub-processes (aka call-activities).

grafik

Now I want to retrieve an activity tree by calling the REST-API camunda/rest/process-instance/<instance-id>/activity-instances (Get Activity Instance | docs.camunda.org)

I got a result, but this is incomplete: I don’t see the child activities of the first “call activity”.

grafik

How can I retrieve the “full tree”?
We use this for modifying process instances (skipping tasks and so on) via a REST client.
At runtime, I only know the process instance id of the parent process because this is the ID the full process is started with.

We use Camunda 7.10