The writing-up is already done.
This is what a session comes back as. Not bullet points, not a transcript, not "the party fought some rebels and won." What your table actually made, written down properly.
Rather than meet them with steel, Helix drew Fatum and scraped a line across the stone at their feet. He told the crowd, calmly, that if they crossed it he could not guarantee they would see their families again. For a moment the line held.
Then Ryker shouted them forward and the moment broke.
That's a real session. The line in the stone was a player's idea. The refusal to negotiate was said out loud at the table. Inergy didn't invent any of it — it was there while it happened and it wrote it down.
A fight comes back the same way, from what was said while it happened: who stepped in front of the shot, and what it cost them. The details you'd have to reconstruct on Wednesday from a photo of your notes.
If you run games for money, this is what you hand your table on Sunday morning. Nobody is paying you to write it, and you were going to do it anyway.
Didn't run the session in Inergy? The recap can be written from your notes instead.