Lyric discussion by gorefist 

I think "that" is cheat on her, if you read towards the end.

Girl:] I know the territory, I've been around It'll all turn to dust and we'll all fall down And sooner or later, YOU'LL BE SCREWING AROUND. [Boy:] I WONT DO THAT!! NO i WONT DO THAT!! Anything for love, oh I would do anything for love I would do anything for love, but I won't do that, no I won't do that

Or "I'll never do it better than I do it with you," "I'll never forget the way you feel right now," etc.

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