A RPi 3 is going to be your best bet; the Prusa tutorial is a point of contention with the OctoPrint community, as Prusa Research didn't contact @foosel or anyone in the community to make sure a Pi Zero W would be sufficient to run it reliably. People have issues all the time, especially if they try adding a camera, since the Pi Zero W has super-wimpy resources.
I'd strongly recommend getting a couple of inexpensive routers and setting up your own network. If you get a router that's able to be used as a wifi to ethernet bridge out of the box, you can connect that up to your complex's wifi, and have it bridge to the WAN port on a second wifi router, that you can use to create your own network, without having advanced skills or having to put custom firmware on a router. TP-Link, for instance, makes affordable routers that can do this stuff. I wouldn't blindly hook OctoPrint up to your complex's WiFi, as you're asking for trouble, since it's not a secure network, and anyone in your complex (and quite possibly anyone on the internet) can likely access it. See the article linked below for some ideas of why this is bad:
Finally, don't let being an ME student keep you from understanding software and hardware...the broader your knowledge base, the more valuable you are, and the farther you'll go. ME, EE, and software skills all fit nicely together, and if you've got some hardware and software to go with the mechanical skills, you can build pretty much anything and make it work, which will leave you very much in demand in the job market, and positioned to create just about anything you can imagine on your own as well.