Loved this! Cheers to the Governor is my favourite drinking game in real life so I was immediately intrigued by the idea of Balatrifying it (though I've always played it as "Cheers to the General")
Strongest point is that this is a solid concept - getting more and more rules stacking on top of each other is just plain fun. Trying to type as fast as you can but also being careful not to misremember the rules is great tension.
I think to take it to the next level I'd love to see more ways to bring buildcraft into the mix. I feel in it's current implementation there's not much you really consider when making your round-to-round choices. There's no feeling of "oh I've picked up a bunch of rules that synergise well" or "this run I'm doing a letters build", maybe next time I'll do a "descending runs" build or something. There is some of that, like if you have the words with friends house rule you're likely going to take a bunch of letter replacement round rules. But I think it would really sing if it was turned up a notch!
My only gripe is that the combination of font choice and the CRT effect makes a lot of the text quite hard to read. I thought I was going mad wondering how a rule could "replace 18 with 18" before eventually realising one of those 18s was in fact a 16.
Really nice work!