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DeusExMachina is the common term for a trope in which something not previously established (originally, a god) suddenly appears to resolve the plot. It's an old enough term that it's used here in the wiki. It's also surprisingly punnable, and that's what's going on here.
!!Tropes following this pattern:
%% AveMachina is not conceptually related.
%% DeusAngstMachina is not conceptually related.
%% DeusEstMachina is not conceptually related.
%% DeusExHomine is not conceptually related.
* "Deus Ex Sewing Machina" -- see ''Webcomic/ProblemSleuth''