I'm exploring taking the Company actions and making the decision making a little more strategically and tactically oriented. In such an event, when things happen and how they're paired with other things can be pretty important.

• Break a month up into 6 phases, each one around five days or so, but it's somewhat open and can veer into the more abstract. Now what I would do is create a Company character sheet with big boxes for each of the Qualities. Players create pools and as they take actions, they remove dice as those qualities have been degraded, so they see the pools shrinking.
• In each phase, players can choose Company actions, or choose no actions at all. Each set of actions in a phase work concurrent to the others... so if the same quality is used twice, its pool must be split between the actions.
• If Initiative is needed to be determined between conflicts, if players are involved or hope to influence the roll, then half of each of the competing pools is rolled, players provide their input and modifiers are added and the rest of the pool is rolled and conflict is resolved. If no PCs are involved, then roll the whole pool and determine the initiative when the conflict is resolved.
• Improve the Culture and Raise Standing are always resolved in the 6th phase.
  

So, for example, a Knights Templar Company (Might 3, Territory 1, Influence 2, Treasure 3, Sovereignty 4) might:
Phase 1
Espionage: Find out what the Thearch is going to do
Phase 2
Counter Espionage: Use the Knights-Inquisitor to hunt down the Thearch's agents
Attack: Raid, to knock down the Thearch's Treasury to hurt his Espionage efforts
Phase 3
Possibly Defend or do Counter Espionage if necessary
Phase 4
As Phase 3
Phase 5
As phase 3
Phase 6
Rise in Stature: use the ineptitude of the Thearch to increase their credibility and gain more power in the Church.

Now you can see how Phase 2 depends on two elements coming together and hopefully happening before the Thearch pulls off his espionage.

The question that this answers is: Are the Templars aware? Yes, if their Espionage in Phase 1 is successful, by the time the Counter Espionage in Phase 2 goes off. Now the question for me here is this: Could a successful Raid in Phase 2 affect an action as it is happening?