Hello, Something I've noticed.
"Day 81 - Talk with the Empress next to the vault (access through 2F west side)."
This doesn't progress you to day 82, so you'll still be on day 81 for the 3rd quick release training.
And
"Day 83 - Talk to Nalili in the Throne room and go to the prison's secret room for the 1st training.
Day 85 - 2nd training."
Day 83, the 1st training takes 3 days.
So, it should be written as follows.
Day 81 - Talk with the Empress next to the vault (access through 2F west side) and do Do "Quick Release Training", and 3rd time's the charm!
Day 82 - Talk to Nalili in the Throne room and go to the prison's secret room for the 1st training.
Day 85 - 2nd training.
Then everything lines back up.