Kya imam ke peeche wajib chootne se muqtadir ki namaz fasid ho jati hai

As Salamu Alaikum, I wanted to ask if a man says talaq 3x in one sitting where there were no witnesses present - is this a permanent divorce with no reconciliation or is this talaq invalid? This was in a state of anger too. Jzk

As Salaam Alaikum

My wife said she wants divorce i asked her if you really wants it three times and she said yes to all and then i said okay then i will give you divorce. Now has divorce happened between us ? What is the ruling ?