This is an excellent take on the theme, there have been a number of entries using particle spin, but I think this has kept me engaged the longest.
For context, I pretty much never play puzzle games; but I really want to try and finish every game I play. However I could not for the life of me figure out the last level, to the point of a substantial amount of frustration such that I've had to put the game down. Ordinarily I don't think I'd care too much, however with there being a narrative element, it feels terrible! I'm not sure there's anything to be done with this piece of feedback, because making the game easier would hurt the people who are into puzzle games. I so suspect my frustration is primarily borne out of not being the target demographic.
Right, with that out of the way. The graphics are good and certainly fit into the terminal style you were going for. The audio also fit very well and create a nice atmosphere. I would have liked an option to turn off the CRT shader. I find them to be a bit like marmite and start to hurt my eyes after a while. Not a biggie for a jam game, but it is nice to always have the option when it's a disruptive screen-space effect like that.
The tutorialisation was excellent, and I particularly liked how you interwove it with the lore, so it really didn't feel like a tutorial to the player.
For your first game it's really great, you've nailed the theme and really come up with a creative idea and executed it brilliantly. I think you can be really proud of what you've put together here, and from what I can see from the puzzler fans, it's gone down a treat! Well done.