Non-Correctable Error

[spret93]

In my game today, neither my partner nor I noticed that the wrong team was awarded a designated spot throw-in. They inbounded and dribbled all the way up the court until I noticed. I know this does not fall into one of the five correctable error categories. Can this type of play still be called back when the error is realized? How late is too late?

I realize that the best answer is "don't let it happen in the first place", but what is the correct way to handle this?

Thanks!