And you will also need to remove the group email address from the users (all users) contacts, otherwise it will still show when composing an email.
gam ou_and_children_ns / clear contacts emailmatchpattern <Email To Hide>
Users 'otherContacts' is more tricky as they all have different IDs (resourceName). So you should be able to run
gam ou_and_children_ns </Path/To/Top/OU> print contacts query <Email to Hide> todrive. Then put the Google Sheet ID/Tab Name from this gSheet into the command below.
gam csv gsheet <gSheet Owner Email> <Sheet ID> '<Tab Name>' gam user ~User delete othercontacts ~resourceName
For some reason I have oftne needed to run this process a couple of times as not all the otherContacts are removed.
Cheers James