Quick guide:
Grinding and cashing in Boxfuls of Intrigue takes 14 actions. The first 13 require successful Shadowy checks that become 100% straightforward at 217 Shadowy. The last one completes the carousel and gives rewards.
The following storylets are available in Spite and each give 1 Boxful of Intrigue on success. Red choices make you "The Conscience of Empire" while blue choices make you "A Guardian of the Realm." Switching will give you a point of Turncoat, a special menace that locks these choices when you’ve accumulated 4 points. Staying consistent for multiple actions will raise the "Empire’s Kingmaker" quality, which unlocks the most valuable cash-in reward when it’s high enough.
0-3 Boxfuls of Intrigue (first 4 actions)
[ul][li]An Agent of the Masters
- [color=lightcoral]Expose him to the newspapers[/color][/li][li][color=cornflowerblue]Help cover up the sordid business[/color]
[/li][li]The Unionist
[ul][li][color=lightcoral]Help her escape[/color][/li][li][color=cornflowerblue]Join the hunt[/color][/li][/ul][/li][/ul]4-6 Boxfuls of Intrigue (3 actions)
[ul][li]The Course of Love
- [color=rgb(240, 128, 128)]Keep its agents at bay[/color][/li][li][color=rgb(100, 149, 237)]Help keep them together[/color]
[/li][li]Doing the Rounds
[/li][ul][li][color=rgb(240, 128, 128)]Lie to them[/color][/li][li][color=rgb(100, 149, 237)]Tell them the truth[/color][/li][/ul][/ul]7-9 Boxfuls of Intrigue (3 actions)
[ul][li]Encryption of a Sort
- [color=rgb(240, 128, 128)]Intercept the messages[/color] (Rewards 2 Correspondence Plaques on success or failure)[/li][li][color=rgb(100, 149, 237)]See that the messages arrive safely[/color]
[/li][li]A Night of Desperate Ambushes
[/li][ul][li][color=rgb(240, 128, 128)]Defend Spite from the neddy men[/color][/li][li][color=rgb(100, 149, 237)]Wade in with the neddy men[/color][/li][/ul][/ul]10-12 Boxfuls of Intrigue (last 3 actions before cash-in)
[ul][li]A Strong Box
- [color=rgb(240, 128, 128)]Tell your larcenous colleagues when the strong-box will be moved[/color][/li][li][color=rgb(100, 149, 237)]Tell the gentlemen in blue about any plans for robbery you hear about[/color]
[/li][li]A Salon of a Sort
[ul][li]Steer the conversation to Mr. Stones[/li][li]Steer the conversation to Mr. Fires[/li][/ul][/li][/ul]When you finish this carousel of 13 successful actions, you can take a 14th action to get rewards: 17.5 echoes of Strangling Willow Absinthe, Compromising Documents, or Stolen Kisses. Alternately, if your Empire’s Kingmaker is 40 or higher, you have the option of taking 20 echoes of Mourning Candles instead.
For maximum profit, you do only the red choices above, staying as The Conscience of Empire so that you can get the Correspondence Plaques for the third section of the carousel; when you get to Empire’s Kingmaker 40, you take the Mourning Candles since they’re worth more.
Note however that this carousel is also the fastest way to grind the other rewards, which can in turn be converted into other tier 3 items or into rare and expensive wines via the Portly Sommelier, etc etc.
As noted, you can’t eliminate Turncoat until it reaches 4, but it has no effect until then either. At Turncoat 4, you can eliminate Turncoat completely by paying 100 CP of Revolutionaries connection or 1 CP of Masters connection. You can also gain Boxfuls of Intrigue whether or not you’re a Turncoat by using branches on the connection-conflict cards – but there’s not much reason to do that other than to read the story-snippets involved.