The first question on attainments is secondary Arcanum. They're rather clearly mind, but the other one I could see working as Fate for even more dickery with making people more likely to buy from them and reading the market, Matter for more direct cheating and messing with products, or maybe Time for similar reasons to Fate.
Their primary would probably be a mix of those Dream guys from Legacies the Ancient and various tricks for taking advantage of customers or influencing people. Like their final ability is just a really long duration suggestion to go buy their products in favor of everyone else's.
Well, how influencing people from the Astral Realm works is tricky, and is as much a statement on the Legacy as anything. Like, it's not easy and it's not quick, and so they're going through a lot of effort to cheat. You go to the Temeros, which is the collective unconscious of humanity. You can find Abraham Lincoln battling against the Realm of Feudalism The Idea (Which has gotten some Dark Enlightenment cred, and is related to him to the extent that people imagine Abraham Lincoln in opposition to slavery and connect it to feudalism), and then journey from there to people's imaginings of Richmond Virginia (Because slavery=Confederacy in people's minds), and so on and so forth.
Within the proper realm, let's say Richmond, you can then influence what goes on, and as below, so above, mentally, with it being harder the more people are affected, and the more central the change is. You have to use all of your powers and cunning to do so, it's an adventure, not (just) a roll. So, for instance. Let's say you want to make it so that yours is the only...I dunno, Italian Restaurant that anyone goes to in this medium sized town. So in the Temeros you go around poisoning the food of the other Pizza shops, and breaking their water manes, and otherwise fucking stuff in the Dream-Pizza up.
It doesn't cause it to happen in real life, but what it does do, if you do it enough, is make the Realm say, "Oh, hey, that pizza place sucks, I swear I got food poisoning once, don't you remember?" And then in the real world, people unconsciously find themselves ignoring the coupons to go to those restaurants, or driving ten miles out of the way just to avoid going there.
I mean, obviously you can do more significant things, but the more important the belief is to someone (and it can't change matters of obvious fact, like making people believe water will burn you alive), the less likely you are to sway someone.
Luckily, since the Legacy's point is that it does petty shit for petty reasons, it's a Mind-Fate sort of Legacy that goes into a Realm and does petty shit. If they actually wanted to be a Legacy of, I dunno, revolutionaries remaking the world via the collective unconscious, that would be actually-hard. Rather than just Mage-hard.
Instead, all they need to do is journey into the Astral (which does take work, but...), find the right people, ruin or promote the right ideas/products, and then get out of there to reap the rewards as suddenly everyone goes to their Pizza Joint.
Note: if your pizza really, really sucks and people get food poisoning, that'll, you know, start counteracting all of the work you've done to cheat your way into financial dominance. It effects attitudes, not reality: nothing can make you a good pizza chef. Except extensive mob ties or playing that Quest that neither I nor
@MJ12 Commando will ever make about being a pizza corporation.
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