The printer in your classroom is connected to your computer, but you don't see it's name when you try to print.
During the Summer of 2021, classroom printers were directly connected to teacher computers. Those printers will now identify themselves as "HP LaserJet Pro MFP M225dw" without a room designation. That is what should be used when printing locally.
If you are printing from Chrome, you may need to select "See more..." from the "Destination" popup menu in order to pick your classroom printer.