Shame that there are TWO Jacks in the manor, leaving the mechanics up to inscrutable logistics related to their time circumstances.
Die is thus split into two alternate versions of himself through his actions. The first eventually jumps back to his initial timeline, only to be later killed in a different one, as per usual.
The other self-fulfills their original plan, although it's kind of a weird solution, really. Bit of an oddity among oddities, even for this place.
Bottom line is, you can't be killed in an alternate timeline when you're suddenly working under the constraints of a reality where there are NO ALTERNATE TIMELINES to begin with.