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I don't believe the Bleach entry is an example. The time-manipulation of the Dangai was established from the beginning. Jinzen had been introduced hundreds of chapters before. A fusion scene between the two inner spirits created the fandom theory that Ichigo needed to fuse his inner spirits for full power years before. When it happened, the fandom immediately noticed the similarities between it and Letzt Stil (the theory Ichigo was half-Quincy based on his mother's behaviour when she died had been around for years by now).
It could be rewritten to account for foreshadowing, sure. The Diabolus Ex Machinas can not be forgiven though. After what Aizen pulled off, he needs at least a reference here. An inverted example maybe?
I'm surprised not to find any references to Harry Dresden in this section. He's been in more seemingly hopeless predicaments than you can shake a stick at. Surely there must be at least one that qualifies, or at least comes very close. He does after all have a freaking Archangel among his allies.
Because he doesn't fit the trope. The resolution to every one of his stories is based in the rules of the world he's in, foreshadowed, and makes sense as being within his capabilities.
I don't think Attack On Titan is really an example. Eren's titan powers are basically the core to the entire plot, and not just some one time trick to get out of a bad situation. His titan controlling power is a much closer example - having been used only once to get out of an otherwise hopeless situation and not appearing again.
So, I'm removing the Thrawn example, copy-pasting it here to the discussion thread. The reason is actually that the opposite is true: Partway through the second book, the good guys manage to subvert Thrawn's bodyguards. The remainder of the series is spent waiting until he gets knifed in the back, leaving the only question as how well his evil crazy second-in-command and his neutral sensible third-in-command are going to take over as main villains - these characters being much closer to the power level of the protagonists.
The previous example:
I think the Harry Potter third book example was for the correct series. They would have stopped the entire villainous plot at that point if not for how no one, including Lupin, expected Lupin to transform (they forgot it was a full moon?) and give Pettigrew a chance to escape. Whether this is a valid example or not is open to debate, but I don't think it was misattributed.
You might find the essay "Destiny", about Harry Potter and how it could be improved, a good read. Anyway, from the page history I'm having trouble figuring out what was put where and why which was valid; whatever it was, I'd say that Po A isn't an example.
So, this may have been an example behind the scenes during production, but I'm not sure the episode as it turned out is an example. The ending isn't a Deus ex Machina, it's a rather poetic exploitation of the given properties of the Monster of the Week. It could be an answer to the riddle "How do you stop a group of monsters that can't move as long as someone's watching them? A:Trick them into watching each other"
I'd like to dispute the Bleach example. Aizen was beaten via exploiting a.) the wonky timescale inside the Precipice World, and b.) the death of the Janitor. Both the time-screwage ands the Janitor were established beforehand, and while the resulting Training Arc did indeed lead to a powerup we'd never heard of before then, this a shonen manga. That's not especially noteworthy.
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