You also have to look at lighting and sound.
You will need to rig a few lights to make the teachers look good. Do you have to rig trusses to keep things neat and tidy?
You will need some wireless mics to plug into have good sound quality.
The cost and quality vary tremendously from Lectronics to simple plug and play systems like Pico mic.
Do you have camera operators?
Is this a live switch environment? Or record and edit later?
Workfllow is a huge part of Multicam / studio environments.
The ATEM ISO can record all camera streams in sync and import into Davinci for further editing. This will save you an enormous amount of time. You also need to consider storage and this will determine shooting format. Can you afford a big raid setup? Or just individual hard drives? Or you can mix a Blackmagic cloud storage solution with some big hard drives for backing up.
You'll need monitors to watch everything and make sure you don't have problems.
Best to setup a control room somewhere, not in the same room so you can monitor sound with speakers and have talkback to the camera operators and / or instructors.
If you don't have camera operators, you can use solutions like the DJI RS3 Pro gimbal that have active person track and can add autofocus to a manual focus lens camera system like the Blackmagic pocket cameras.
Here's a great podcast setup with 6K Pro cameras and ATEM ISO recorder: