Three coral (newbie) questions...

[SiliconGuy]

I tried to read as much as I could in various forums but have failed to find
exactly what I'm looking for. I would appreciate help with the following:

My branching hammer coral has grown a second branch (see picture).
It is mounted on a rock stub (see orange lines). I would like to split
that branch. I've read about cutting through the tissue, far from the
head but was wondering if there isn't a way to pry it off the rock?
As you can see in the picture, there is a natural separation that appears
to run all the way to the rock.

Also, does a coral branch compete for territory with a sibling? In other
words, do I need to place the newly separated branch far to avoid a feud?

I assume that the way to mount the new branch is with coral superglue?

Thanks for the wisdom