Hey!
I completely understand the initial confusion and agree there should be a tutorial or some sort of guide in the beginning.
To answer your question, yes, there is a way to not get fired! I made some last minute changes during crunch time and made the game way too hard. There is a threshold of synergy you have to meet between the two player's mood levels. When it is met, you trigger a project proposal mini game which is how you win/lose for the day. Unfortunately, I didn't see the issue until I submitted it! So, I hope to fix it after the jam is over to make it playable. Oh well :)
Thanks so much for playing! I'll check out your entry tomorrow!