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Mono-blue Brain in a Jar Combo. See MTGGoldfish for one of the early versions of the deck.
http://www.mtggoldfish.com/articles/budget-magic-20-9-tix-standard-mono-blue-brains

See also:
http://www.channelfireball.com/articles/rejected-brews-from-ptsoi-testing-bw-jar-fog-and-seasons-past-jar/

Paulo talks about his team's U/W Turbofog version of this deck (which I also love), but mentions that it's very weak after sideboarding - that's a serious concern for me too. He mentions that a good transformational sideboard would do it, but there isn't really one now.
I find that Thing in the Ice is nearly a perfect mini-transformation my sideboard can do. If they take out their removal since I'm running no creatures in the main, it becomes much harder to deal with. It dodges Duress, Transgress, and Negate, blocks creatures from turn 2 where that matters, and kills in three turns if unimpeded.
Combined with multiple Disperses, it could get there - and if it doesn't, it provides a very reasonable distraction while my main combo plan keeps going.

Sideboarding:
Crush is Engulf number 5 against G/W tokens, I guess. Also makes an 8/8.
Disperses come in against a wide variety of things because I like that kind of interaction post-board. Anything black could be running Virulent Plague.
Thing in the Ice - discussed above. Can come in against almost any deck.
Counterspells come in against anything that isn't all-out creatures.

Other building options:
1) Go U/B tapout control that doesn't have to tap out thanks to Brain. Instant Languish, discard effects in their draw step, and instant Dark Petition (for one mana!) are the main draws to the tapout control style of deck (and it's more similar to Paulo's third deck in the link above).

2) Moderate colorless-matters theme in sideboard, with Prophet of Distortion as uncounterable card draw after creature removal is gone. Might involve siding into a more control-heavy build.

3) Artifacts-matter theme after sideboarding, with Thopter Spy Network as alternate win condition. Use clue-generating instants and sorceries to greater effect here - but this plan still seems very weak to me.

4) Alternate win conditions with Sphinx's Tutelage, and/or Sphinx of the Final Word.

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This deck does not appear to be legal in Standard (Season from Sep 2021).

Problems: Not legal in this format: Mage-Ring Network, Anticipate, Brain in a Jar, Disperse, Engulf the Shore, Grip of the Roil, Hedron Archive, Nagging Thoughts, Part the Waterveil, Pieces of the Puzzle, Pore Over the Pages, Rise from the Tides, Send to Sleep, Thing in the Ice // Awoken Horror, Dispel, Crush of Tentacles, Void Shatter, Disperse.

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