Mystic investigator cards are cards. So when you resolve the Elder Sign effect on your Mystic investigator card, Eldritch Inspiration can double its effect (or In Jacqueline's case, ignore it to draw a card, though that seems a waste).
마법. 영혼.
신속. 당신이 혼돈 토큰이 ("공개될 때", "공개된 후에", "공개되면") 격발되는 카드의 효과를 해결하려 할 때 플레이할 수 있습니다.
그 효과를 취소하거나, 추가로 한 번 더 해결합니다.

- Eldritch Inspiration The Circle Undone #33
They fixed the wording from Eldritch Inspiration, adding the "when," "if," or "after," and it now triggers regardless of the token, making it work with the "good stuff token" cards in Jacqueline's deck. That seems worth the 1 XP.
In the spirit of the 0-cost review:
New cards it mitigates:
Azure Flame, Azure Flame (3), and Azure Flame (5) --prevent 1-2 damage
Clairvoyance, Clairvoyance (3), and Clairvoyance (5) -- prevent 1-2 horror
Ineffable Truth, Ineffable Truth (3), and Ineffable Truth (5) -- prevent 1-2 resource loss
The Chthonian Stone (2) -- prevent the loss of a charge
New cards it enhances:
Eldritch Inspiration (1) -- it would triple one of the other cards
Eye of Chaos -- get 2 extra clues or 2 charges
Hypnotic Gaze (2) -- double the enemy's damage or horror as damage to itself
Recharge (4) -- get 2 charges rather than 1
Sixth Sense -- you investigate at 2 locations connected to you
Sixth Sense (4) -- You investigate at your location twice and at 2 locations within 2 locations of you
Wither -- Enemy gets -2 Fight and -2 Evade for the remainder of the turn
Wither (4) -- Enemy gets -2 Fight, -2 Health, and -2 Evade for the remainder of the turn
I am not entirely convinced that canceling the bad effect on Parallel Fates , Recharge (2), or Recharge (4) wouldn't get you the "otherwise" effect, since you don't do the canceled part of the text, and "otherwise" follows, but I am sure I will be schooled on this. Also, Sixth Sense (4) seems wild with this.
Sadly, it won't work on Voice of Ra.