She kept the staff attached to her arm band in the OS, I haven't seen her tuck it away nor pull it out from anywhere specific in this reboot. If it was shown I've missed it.

I thought that was in her wrist band.

I could have sworn she took it out of there in the recent episode, since i didn't see the back thing for it while she and kit were hunting.

I'd say Pumy-Ra will join the group. They didn't go through all that trouble to introduce her just to have her left out. Lion-O's goal is to unite the animals against Mumm-Ra. The Thundercats need more members than ever.