The year is 2077, Arkham Horror is now exclusively playable on expert mode and you're faced with a (7) test threatening to take all your clues or deal up to 7 horror. You are 5 below naturally and have a single Eureka in hand to commit. Your friend commits guts, there's 10 blessed tokens in the bag. Success is within reach as you continue to stack the odds further in your favor. You draw an autofail and go insane.
This is a brutal weakness. With Kate's measly 2, you're already 1 below on this card's base difficulty, and every single use of Kate's ability makes this test worse. Unlike Harvey, you don't even get the benefit of having a threshold of 2 or 3 clues, every single clue on an asset is a risk until you draw this card. It's not unsolvable, but the threat is real and this card can delete Kate from the game if you aren't prepared for it.
With Kate's introduction in Hemlock, we also saw the addition of science cards like Chemistry Set, and extra tools through Dr. Charles West III and Tinker. You're likely going to have a lot of assets out that can have a clue placed on them, and assuming you don't want to forego your investigator's ability, there's a few things that can mitigate this weakness:
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Logical Reasoning or its elder sibling Logicaler Reasoning. There aren't very many seeker cards that even mention horror, so there isn't much competition here. Kate has off-class access to First Aid and Delay the Inevitable, but neither is an ideal solution. Moment of Respite is also worth a look.
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Stock up on will commits through Guts, Inquiring Mind, and Unexpected Courage. The drawback here is that each will commit you add will lower your deck's overall efficiency. A hand full of will commits before or after this card is drawn are mostly just going to take up space.
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"Fool me once..." is an insight, so Kate has access to it. If drawn early you can use this to trap your weakness and mitigate its effect on future cycles. That said, its value depends heavily on how often you cycle and the first test will happen no matter what.
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There are 11 Seeker allies with 2 or more sanity to let pay the price of your hubris, and Eldritch Sophist has 3 sanity soak if you're absolutely determined to go that route.
Having said all that, I like this weakness. Kate has the potential for an absurd science toolkit, and this weakness makes it possible to have it all blow up in your face.
TL;DR - Run Carolyn Fern with Kate and turn bad science into good money.
Edit: There's a ruling on Surprising Find that makes this more manageable. "Next test" on Flux Stabilizer counts for the current test, so you can boost will in response to drawing your weakness; however, it will change the test difficulty - so each clue represents +1 will overall. Just don't draw the autofail if you're pumping clues to pass.