I refrained from drinking alcohol until that game was over.
I didn't drink alcohol until that game finished.
ご質問ありがとうございます。
「〜が終わるまで」はuntil 〜 is/was overとかuntil 〜 finishedなどに訳せます。「我慢」はrefrainとかdidn't doとかresistedなどと言えます。resistedの例:I resisted drinking alcohol until that game was over.
ご参考いただければ幸いです。