How does this kingdom sound?
King's Court
Loan*
Talisman
Alchemist
Philosopher's Stone
Golem
University
Scrying Pool
Transmute
Quarry
I'm not sure if BMU+Loan beats BMU, but if it does, perhaps Apothecary in there. It strikes me that all of the potion cost cards need some support to be worthwhile, from non-potion cards, so amusingly I think you can hide most of them together in a single BMU set. Also possibly Bank... I think might work.
BM-Apocethary probably crushes BMU. Apothecary needs no support.
I'm not so sure about BM-Transmute, either...
No and no.
Stats/Evidence being? Apothecary is straight forward but Transmute won't simulate well. Then you consider combining the two...
I can't prove that there isn't an apothecary bot that beats BM, much like I can't prove that unicorns don't exist. But I've tried, and it doesn't work.
I don't know why you'd think wasting two turns worth of build up to buy a transmute would be at all worth it.
And I don't know why you ignored the point that apothecary/transmute might beat BM. Transmute after already owning a potion= 1 turn for estate-> gold.
Dude, I may have posted way way too crazily much here, but I don't have the time to respond to everything.
I mean, transmute will help your apothecary deck, if you buy it when you get PCEEE. But... that's gonna be about it. Because apothecary's gonna be better otherwise, so it's not going to make much difference?
But what do I know? Maybe there's a board where you open baron-estate on the 5/2 split, too...