Hello Mate,

Hope doing great,

you can configure a service principle in that case, add proper roles as per needs and use as run owner. Re_run the stream so that your PII will not be able to display to other teams/persons until having the member. 

Simple words your are not masking but not restricting other teams directly to avoid the stream failures with mask objects. If not help please ignore.

Thanks for the ask. 

Saran