On Android, and for security reasons, Google created a protected file storage area where only the app itself can access, not other programs (except for a few privileged file manager programs). Memento defaults to using that storage area to store backups.
You can see where that default storage area is located by going to the Memento app's global settings, in the general settings area.
On my Samsung GS25, when asking to do a full backup or full restore, Memento will show a list of files in it's currently selected directory/subdirectory. On the top line is the path to that directory, which can be tapped on to go up to a parent directory level. You can then go into another subdirectory by tapping that sub directory's tile. Memento seems to remember your selection for the next time you do a full backup or restore. It also seems to use that directory selection when doing a library export or import operation.
Directories in the normal area are also "protected". The are visible in file managers, but apps normally do not have permission to read or write files in those directories. The "Download" directory is usually one of the directories that is set to allow all program access, which is the directory I use for my backups.
Screenshot of Memento's directory selection screen for a full backup:
