What do Logic, Intuition and Authority influence in "I'm hunting you"

Influence of Logic

Where logic is needed in the "I hunt you" story:

• (1×07) "Open it yourself" (8 Logic) - +1 Authority
• (2×02) "Let's talk to Anna now" (21 Logic) - "You impressed Anna and earned your first Businessman score!".
• (2×04) "The oldest was built in the 18th century" (19 Logic) - +1 Authority
• (2×06) "It wasn't you" (15 Logic) - +1 Logic, "Thanks to iron logic, you learned interesting information!".
• (2×08) Path of Logic: "Male toe and heel marks" (19 Logic) - +1 Logic, "You found out that a man came to the cliff!".
• (2×10) "It's not profitable for you to kill her" (32 Logic) - +1 Authority, "Rachel will not forget your devotion!".

Influence of Intuition

Where intuition is needed in the story "I'm hunting you":

• (1×06) "I propose to write off the debt completely" (7 Intuition) - Ellia will agree, he will like your determination.
• (2x04) "Do you think this is a normal name?" (24 Intuitions) - "You got a plus to your status as a businessman!".
• (2×06) "Everything is clear, but..." (15 Intuition) - "You got a chance to defuse your first trap and find a way out faster!".
• (2×08) "Need my inheritance?" (19 Intuition) - +1 Intuition, "You're feeling your line of suspicion!".
• (3×01) "Ohyo gozaimasu" (20 Intuition) - +1 Authority

Influence of Authority

Why do you need authority in the story "I'm hunting you":

• (1x10) "Improvise" (17 Authority) - "You have earned the approval of Annette's partners! This will definitely come in handy!"
• (2×07) "Diplomatically get out of the situation" (18 Authority) - "You managed not to ruin relations with anyone present!".
• (2x07) "What You Advise" (22 Authority) - "A good bow will give you an edge in your shot!".
• (3x05) "Actually a Gremlin" (38 Authority) - "Kane is ready to give you the best board!".