How do I create an album from an identified person?

In macOS Big Sur's Photos app, there's a People Album. In it, there is a thumbnail for each identified person and clicking on that lets one view photos of that person. My goal is to share all pictures of one person. But there doesn't appear to be a direct way to do this (e.g. create a shared album from the thumbnail of that person). Is the only way to do this to manually select all the photos of that person and then create a shared album from those photos? What if Photos later identifies that person in more photos? Do I manually have to update the shared album with the newly identified photos (doesn't Photo sometimes do this in the background - in that case how would I even know which are new?)

I must be missing something - this seems like a fairly basic/useful feature. My mom just died and I want to share all photos of her with friends and family.