This type of affairs actually outside a lot in the working world. 2 examples I met
A lot are still on-going for many years. Last time my senior got a second family (his used to be a maid he met at lucky plaza) in Manila. I got to know it when he came honest with me because I was the only guy in the office who would lend him 20 dollars. I think he was almost wiped out every month due to family in SG and the other woman with their kid in Manila. His SG wife still doesn't know because he doesn't keep her contacts in his phone; he only skypes with her when he was at work, always saw him hiding in the warehouse office downstairs to videoconference.
I had a deceased relative who had a mistress and son in Thailand which even his whole family don't know, only my cousin's wife knew because she saw them before on the streets. When my relative passed away after a prolonged illness, my cousin's wife brought the mother and son to the wake. Everyone at the wake saw this woman and boy but did not know who they were. They just prayed and walked off towards the MRT station. My relative's wife's sister very sharp, she could see that the boy resembled my relative, she immediately chased up to them but they already entered the train liao.
Later my mom and pop told me that my relative's wife actually wanted to talk to the Thai wife and told her she has forgiven her because my relative was already in heaven and he would like people to live in harmony.
The following year CNY I saw the Thai wife and their son again and everyone in the family accepted and welcomed them. Then my mom said my relative actually still got some 福气 because with sinkie wife got daughter and with Thai wife got son. but karma comes around he paid for it by contracting a prolonged chronic illness. So God is always fair, I would advice the vp wife to calm down a bit and have a good talk with the man she has kids with.