This was pretty fun to try out! The style is amazing, it almost feels like a very high-end Atari game got transported from '80s, which is absolutely a compliment :) The colors and music are great but I feel like you could've added some simple sound effects. The level collision really doesn't have to be pixel-perfect, either, I would've preferred if you had made it a bit simple as some of the rougher geometry is a bit annoying to navigate through. Though this issue does resolve a bit by the time you get the Shift upgrade.
I got really far but eventually got seemingly locked out of progression, I lost to the tiny boss in top center corner of the map and the purple door locked behind it so I couldn't try and replay it, since I'd already used the key. I don't want to make too many negative criticisms though, because I fully understand that making a game as big as this - especially for a jam - can be quite difficult. However, probably the biggest issue for me is just the simple fact that you don't always know where to use the keys, and probably would've locked myself out even earlier if I hadn't noticed your game page's comment about the yellow boss' green door.
I still had tons of fun, though! Would love to see this get polished up for a more final release version, and I do think it was worth playing regardless.
By the way, funnily enough, the game I worked on also features a character escaping a prison-like scifi-themed complex owned by an acronymically named "Authority" (though I named mine the "Sirius Law Enforcement Corporation" [SLEC]), and we even have our own kind of climbing mechanic! Lots of funny coincidences. Feel free to check it out if you're interested :)