Is saying, "My wife is divorced, divorced by three, divorced by a hundred" considered a divorce if the intention is to marry another woman who stipulated the divorce of the first wife?

The condition imposed by a wife on her husband to divorce her co-wife is invalid according to most scholars. The utterance, "My wife is divorced by three, divorced by a hundred," is a form of pronouncement that effectuates a triple divorce according to the majority of scholars, making the wife irrevocably divorced (bainunah kubra).

However, if one intended to inform about the divorce of another wife or a previous divorce, then your intention is accepted as long as the wording can accommodate it. As for an intention that the wording cannot accommodate, it is not accepted. It is best to present this matter to trustworthy scholars.