Here is how you win the game.
At the start of each round, you decide how many cards to keep. Keep the maximum of 6 cards. Then on each turn, play the card in your hand and never play any of the cards in your reserve.
On each turn you get "drunk" for the point value of the card you played, and then it subtracts the total number of cards from your reserve. By keeping the maximum number of cards in your reserve, you reduce your drunkiness the fastest. The ai will gradually play cards from there reserve, and due to that will become drunk faster than you are (on average). You will eventually win, just only play cards from the hand without thinking and keep the maximum cards in reserve.
There is more "Strategy" to the game, something about playing the same suit and swapping cards or taking back cards, but none of that matters. This method wins the game in both points and doesn't bust. It's a poorly designed game.