Thanks – the lock is actually much better! :)
Discussion
Slight majority on google image search:
Alternatively would be what GitHub does, with a pill with text. There's room by the looks of it, and keeps the possibilities of even more flavours or tags, such as if one is an admin or not, or read/only, or whatever.
There’s room on desktop but wouldn’t be there on mobile. I could do a different thing but I think the lock is clear enough for now.