The idea is attractive: I'm also inspired (or worried by) the sources you mentioned. The concept of narrative-as-mechanic is exciting. I'm trying to do that too - you can check "Conversatio Machina".
This has great potential but I think the murder case may not be suitable to showcase the idea well. Or maybe the execution can be different. Because it seems like there are not that many ways to present what happened. Either the victim went to sleep, or she was murdered by the robot or ...?
I kept getting ending 7 and I was beginning to think something is broken. After a few more variations I managed to reach endings 5 (hilarious) and 13 (SPOILER great statement: "laughing at something is the only way that proves us human" <== yes, I think it is one of the uniquely human behaviours. And it may not always be a sign of joy but also - a relief from stress, a quick therapy of sorts.)
I did notice some spelling mistakes such as "preminent" institute (should be prominent), "proves us human" sounds wrong, maybe - "proves our humanity", "proves that we are human".
"She outsources that humanity to me" <== very interesting idea which can be developed further. But again - investigating a murder scene is not suitable for demonstrating that...
It would be nice if the slots match the segments on the film reel.
UPDATE - the song made for this jam is very nice!
Overall, great idea but the execution can be better. Good luck!