I think the co-worker fighting is normal here
I don't think it's normal. Only once in my 40-year career (working in offices) have I heard someone raise their voice in anger.
Slapping somebody is unthinkable, I imagine someone would be fired, criminally charged, or sued.
Any other quick guide?
Two come to mind.
When I was a teenager, a young Quaker (i.e. a pacifist) said to me, "I'll discuss anything with anyone! But as soon as it turns into an argument I walk away."
There are a few people (army recruits?) whose job it is to be shouted at -- which reminds me of SN 35.88
"Punna, the Sunaparanta people are fierce. They are rough. If they insult and ridicule you, what will you think?"
"If they insult and ridicule me, I will think, 'These Sunaparanta people are civilized, very civilized, in that they don't hit me with their hands.' That is what I will think, O Blessed One. That is what I will think, O One Well-gone."
"But if they hit you with their hands, what will you think?"
"...I will think, 'These Sunaparanta people are civilized, very civilized, in that they don't hit me with a clod.'..."
"But if they hit you with a clod...?"
if u start to scream like the other day, then how to manage ya
I don't know why people shout, it's possibly to establish dominance or social hierarchy -- i.e. they are trying to manage you, and don't want to be told that you see the situation as being your managing them.
That's the message I read from the body language of the first few seconds of the first video you posted, i.e. "I can hit you (because I'm superior) and you're not allowed to hit me."
I can't talk properly when being screamed.
Yes it's difficult, and I'm not sure the person can listen properly when screaming.
My personal experience of being shouted at is that it eventually begins to affect my emotional state too, for example beginning to trigger a primitive "fight or flight" reflex -- and like getting drunk, that's a situation I prefer to avoid. To recover from that altered state, I like (as you mentioned) "some fresh air" i.e. to go for a walk -- or a nap (some sleep).
It is a stressful experience though, so might result in "post traumatic stress" to some degree.
It's also an experience you might get better at with experience.
My final bit of advice is this: there are good ways to react, and bad ways. If you try all the good reactions you can think of and they don't seem to work, do not try the bad ways! It may be tempting ("If A doesn't work then try B"), but try not to get led into bad behaviour.
I think it's possible, even, that the person shouting is (consciously or otherwise) trying to make you behave badly. "I think they're insubordinate and hard to manage. I shout at them ... and look, they shout back, which proves they have an insubordinate attitude, proves they're in the wrong (and I'm right)!"
And that reminds me of SN 7.2 -- don't partake of the anger, don't participate.