Further ingratiate yourself with Constables
From Fallen London Wiki
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From: Opportunities for Ingratiation
Action Cost: 2
Bring coffees, teas, and relief to weary patrollers.
Game Instructions: Raising Renown: Constables will earn you a Dangerous hat.
Unlocked with 
Renown: Constables 5-9, 
Faction Courted: First, Second, or Third exactly (hidden)
Locked with Favours: Constables 7
Success
Warming
Most of them don't smile – it doesn't fit with their self-image. But they nod and grumble and take what you offer with good humour. They're getting used to seeing your face.
Renown: Constables is increasing… (+6 CP, up to level 10)- You've gained 1 x Favours: Constables (up to 7)
