Ref. No. 969 Alif
In the Name of Allah the Most Gracious the Most Merciful
The answer to your question is as follows:
As per the case mentioned above, your wife is divorced with three mughallazah talaqs (irreversible talaqs). By giving talaq in clear-cut words, talaq takes place without intention as well. According to shariah, ignorance is not considered an excuse, talaq takes place in all cases whether you know the ruling or not. Therefore, you cannot live as husband and wife without a valid halalah.
And Allah Knows Best
Darul Uloom Waqf Deoband