Would you like an in-game parser?

[Yeol]

... for people like me who can't memorize all the stuff that happens in a scripted battle like this or doing things over and over doesn't help them? I write things down after watching vids but that doesn't help me if I don't have enough down time to look at my sheet.

No problem at all
If you play with friends/static, there is usually someone giving callouts. So you don't have to memorize encounters. Eventually, It'll become like a song that plays in your head. You will remember bits of it at least.