I'd probably just dive the Tern by itself at that point. I have no issue diving without my own backup, as I was doing with the Zoop N for previous dives, and I am not planning on doing any tec / more advanced dives at the current time (which is partially why the Tern instead of the Teric /Perdix).
I need to spend time reading what others have done and tweak the Tern, then trial it out on a few dives with both on my wrist when I can see how it looks; if they diverge significantly, I'll probably just keep the Zoop in the bag as a backup (and yes, be land-bound for a day if the Tern conks out.)