Feldrake should provide enough income (5 to 7) that there is only 1 background roll in the way.
If we do the duplicateinator there will be at 2 background rolls.
I'll make one last appeal SilentGrove. If you want Muppets as fast as possible,
vote duplicator. I have no issue with people voting On-Ice because the want Mirage Quest, even if I disagree, I respect their preferences. But your reasons to vote for it are a little backwards, since the other option brings you closer to your goal.
The Feldrake quest getting us 7 or even 5 income right off the bat in the quest itself is staggeringly unlikely. We got 2 from his untouched main sanctum, and needed a second action to get the other 5. I don't expect this already-explored base to have 5 income total in the whole place, but even if we did we'd need a second action to touch the bulk of it, so no matter which inator we pick, we aren't getting Muppets next turn.
Now as for getting it the turn after - yes, Duplicator costs us 3 from meat rain, but we can crit sweep a few income actions and almost certainly come out with more than enough for Muppets. With Mirage - well, we've got all our eggs in the Feldrake basket. Her pathetic Martial makes Supervillainy risky and we can't invest in instability. If Feldrake doesn't pay out 5 or more, and it very well might not - it might have been looted already, a smaller base without much loot, or we might fail the follow-up action - we're hooped and need to wait a whole extra turn. By focusing on income on a crits turn we don't run that risk.
If you really want a Mirage Quest then by all means vote that way, but if you want Muppets as quick as possible, join us in the chaos train! And isn't that the Muppet-ey thing to do anyways? All the hijinx and unpredictability of a dysfunctional organization always kept barely afloat by zany schemes is what I love so much about the Muppets, they wouldn't want us to bring them into the fold by playing it safe and doing things like corporate suits.