Wa `alaykum as-Salamu wa Rahmatullahi wa Barakatuh.

In the Name of Allah, Most Gracious, Most Merciful.

All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.

If you have reasonable grounds to believe that your wife is persisting in her extra marital affairs and has no remorse, then as a conscientious Muslim you cannot tolerate it. If you do so, it is definitely the case of a dayooth.

Allah Almighty knows best.