"And on top of that, it brings ALL the boys to the yard!"
The Real Meaning:
"I drink your milkshake" isn't a cool, old-timey burn. It was entirely specific to the scenario in that film. It's a way to explain the peculiarities of oil drilling as it pertains to drainage. It derives from a 1924 Congressional transcript regarding the Teapot Dome Scandal, a scandal as boring as the milkshake metaphor is weird.
That is, if you find national bribery scandals involving the Harding admin- zzZZZZzzzzZzzz.
When you decontextualize that line, it's nonsense. It has nothing to do with victory, or getting back at someone, or sinking that sweet three-pointer. You might as well yell, "How are those tulip investments?!" Which would be a sick burn in the Dutch Golden Age after the crash of the tulip bubble, but right now it's nothing but gibberish. The only thing "I drink your milkshake" means is that you're finished explaining a technical scam oft-employed in old-timey oil drilling ... but try telling that to the guy shouting at you over your Xbox.