The plan was to drink until the pain over
But what's worse, the pain or the hangover?
What the line is trying to articulate is that while finding a superficial way (e.g. drinking) to block out the pain one is going through might work for a moment, the pain will only come back in the morning, with a hangover on top of it.
More personally, Kanye is referring to the alcohol habit he picked up to deal with his mother’s death. Being intoxicated heavily contributed to his Taylor Swift interruption, which only caused him further pain.
In short, what’s worse: the problem, or its solution?
It could also be a double entendre. The plan was, to drink until the pagne over. Similar to the line in Otis or many other songs.
The plan was to drink until there wasn’t anything left to drink, out of champagne or whatever else he’d be getting twisted on.
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