My wife and I were playing story mission "Drawn In" and the treat level was set to 3. Our question is this. Every refresh phase we moved the treat by 3. We did this until round 5. At round 5 the mission instructions told us to increase the treat level by 3. So I added 3 to my other treat level giving me 6 total treat for each refresh phase. Did we do this correctly? I was playing the Empire role and I was able to spawn a a lot of bad guys to fight my wife with. I hope we did this correct? Thank you for your feed back.

Yes, you did it right. The Imperial player raises the threat by the threat level every round (unless otherwise specified). If a mission rule says to raise the threat by some number, that is in addition to the normal threat gained.

Wait, does it say raise the threat level by three, or gain 3 threat? There are a lot of missions that just give you a single infusion of threat.

the threat level for that story mission is 5 so you were penalizing yourself if you where only having 3

you did the round 5 part mostly right, it's "increase threat by 3 at the start of each status phase" rather than increase the threat level by 3, which matters if there is anything that gets modified by the threat level

so from round 5 the threat level would remain at 5 but you would be gaining 8 threat each status phase