This comes up every now and then, so I don't mind checking in on the subject.
We currently have no plans to ban Paradox Engine in Historic Brawl.
Paradox Engine is banned in Commander (a format that shares a lot with HB), but the primary reasons for that banning do not directly carry over. The primary reasons for that ban were, one, Commander decks play a high density of mana rocks as a baseline due to other elements of the format. That means that having enough things to untap with Engine wasn't really a deckbuilding cost - everyone was doing it already. Historic Brawl has lower life totals and more aggression in general, so these cards are not as prevalent or "required" - it's an intentional choice for players to build a deck that can take advantage of Engine.
Two, when a Commander player starts comboing off, they are taking up three other people's time, who are all under social pressure to stick around even if they aren't enjoying themselves. The ...
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